LCM for 10 and 400
What's the Least Common Multiple (LCM) of 10 and 400?
Answer
(Four hundred)
Finding LCM for 10 and 400 using GCF of these numbers
The first method to find LCM for numbers 10 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 400 is 10, so
LCM = (10 × 400) ÷ 10
LCM = 4000 ÷ 10
LCM = 400
Finding LCM for 10 and 400 by Listing Multiples
The second method to find LCM for numbers 10 and 400 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420
Multiples of 400: 400, 800, 1200
So the LCM for 10 and 400 is 400
Finding LCM for 10 and 400 by Prime Factorization
Another method to find LCM for numbers 10 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)
24 × 52 = 400
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/10--400">What is the LCM of 10 and 400? - 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