Mathematics

Find the highest common factor (HCF) and lowest common multiple (LCM) of 60 and 220.

Posted 2 months ago

Answers (2)

Bob Brown 2 months ago

Final answer: The highest common factor (HCF) and lowest common multiple (LCM) of 60 and 220 are 20 and 660 respectively. Explanation: To find the highest common factor (HCF) and the lowest common multiple (LCM) of the numbers 60 and 220, you first need to find the prime factors of each number. The prime factorisation of 60 is 2*2*3*5 and for 220 is 2*2*5*11. The HCF is product of smallest powers of common prime factors, in this case 2, 2 and 5, i.e. HCF of 60 and 220 is 2*2*5 = 20.The LCM is product of greatest powers of all prime factors, in this case 2, 2, 3, 5 and 11, i.e. LCM of 60 and 220 is 2*2*3*5*11 = 660. Learn more about HCF and LCM here: brainly.com/question/35868919 #SPJ11

Bob Brown 2 months ago

Final answer: To find the highest common factor (HCF) and lowest common multiple (LCM) of 60 and 220, we can start by listing the prime factors of both numbers. The HCF is the product of the highest powers of the common prime factors, which in this case is 10. The LCM is the product of the highest powers of all the prime factors, which in this case is 660. Explanation: To find the highest common factor (HCF) and lowest common multiple (LCM) of 60 and 220, we can start by listing the prime factors of both numbers. The prime factorization of 60 is 2 x 2 x 3 x 5, and the prime factorization of 220 is 2 x 2 x 5 x 11. To find the HCF, we need to find the highest power of each common prime factor in the factorizations of both numbers. In this case, the highest power of 2 is 2, the highest power of 5 is 1, and there are no common powers of 3 or 11. So the HCF of 60 and 220 is 2 x 5 = 10. To find the LCM, we need to take the highest power of each prime factor in the factorizations of both numbers. In this case, the highest power of 2 is 2, the highest power of 3 is 1, the highest power of 5 is 1, and the highest power of 11 is 1. So the LCM of 60 and 220 is 2 x 2 x 3 x 5 x 11 = 660.

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