LCM for 30 and 56
What's the Least Common Multiple (LCM) of 30 and 56?
Answer
(Eight hundred forty)
Finding LCM for 30 and 56 using GCF of these numbers
The first method to find LCM for numbers 30 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 56 is 2, so
LCM = (30 × 56) ÷ 2
LCM = 1680 ÷ 2
LCM = 840
Finding LCM for 30 and 56 by Listing Multiples
The second method to find LCM for numbers 30 and 56 is to list out the common multiples for both numbers and pick the first one that matches:
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
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952
So the LCM for 30 and 56 is 840
Finding LCM for 30 and 56 by Prime Factorization
Another method to find LCM for numbers 30 and 56 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 56: 2, 2, 2, 7 (exponent form: 23, 71)
23 × 31 × 51 × 71 = 840
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/30--56">What is the LCM of 30 and 56? - 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