LCM for 3 and 30
What's the Least Common Multiple (LCM) of 3 and 30?
(Thirty)
Finding LCM for 3 and 30 using GCF's of these numbers
The first method to find LCM for numbers 3 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 30 is 3, so
LCM = (3 × 30) ÷ 3
LCM = 90 ÷ 3
LCM = 30
Finding LCM for 3 and 30 by Listing Multiples
The second method to find LCM for numbers 3 and 30 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, [...], 30
So the LCM for 3 and 30 is 30
Finding LCM for 3 and 30 by Prime Factorization
Another method to find LCM for numbers 3 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
31 × 21 × 51 = 30
Related Calculations
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