LCM for 30 and 228
What's the Least Common Multiple (LCM) of 30 and 228?
(One thousand, one hundred forty)
Finding LCM for 30 and 228 using GCF's of these numbers
The first method to find LCM for numbers 30 and 228 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 228 is 6, so
LCM = (30 × 228) ÷ 6
LCM = 6840 ÷ 6
LCM = 1140
Finding LCM for 30 and 228 by Listing Multiples
The second method to find LCM for numbers 30 and 228 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200
Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596
So the LCM for 30 and 228 is 1140
Finding LCM for 30 and 228 by Prime Factorization
Another method to find LCM for numbers 30 and 228 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)
22 × 31 × 51 × 191 = 1140
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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