LCM for 54 and 150
What's the Least Common Multiple (LCM) of 54 and 150?
(One thousand, three hundred fifty)
Finding LCM for 54 and 150 using GCF's of these numbers
The first method to find LCM for numbers 54 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 150 is 6, so
LCM = (54 × 150) ÷ 6
LCM = 8100 ÷ 6
LCM = 1350
Finding LCM for 54 and 150 by Listing Multiples
The second method to find LCM for numbers 54 and 150 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458
Multiples of 150: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650
So the LCM for 54 and 150 is 1350
Finding LCM for 54 and 150 by Prime Factorization
Another method to find LCM for numbers 54 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)
21 × 33 × 52 = 1350
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/54--150">What is the LCM of 54 and 150? - Calculatio</a>
LCM Table
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