LCM for 60 and 216
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 60 and 216?
(One thousand, eighty)
Finding LCM for 60 and 216 using GCF's of these numbers
The first method to find LCM for numbers 60 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 216 is 12, so
LCM = (60 × 216) ÷ 12
LCM = 12960 ÷ 12
LCM = 1080
Finding LCM for 60 and 216 by Listing Multiples
The second method to find LCM for numbers 60 and 216 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200
Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512
So the LCM for 60 and 216 is 1080
Finding LCM for 60 and 216 by Prime Factorization
Another method to find LCM for numbers 60 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)
23 × 33 × 51 = 1080
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
LCM Table
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What's the Least Common Multiple (LCM) of 60 and 216?
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- Наименьшее общее кратное 60 и 216