LCM for 10 and 195
What's the Least Common Multiple (LCM) of 10 and 195?
Answer
(Three hundred ninety)
Finding LCM for 10 and 195 using GCF of these numbers
The first method to find LCM for numbers 10 and 195 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 195 is 5, so
LCM = (10 × 195) ÷ 5
LCM = 1950 ÷ 5
LCM = 390
Finding LCM for 10 and 195 by Listing Multiples
The second method to find LCM for numbers 10 and 195 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
Multiples of 195: 195, 390, 585, 780
So the LCM for 10 and 195 is 390
Finding LCM for 10 and 195 by Prime Factorization
Another method to find LCM for numbers 10 and 195 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 195: 3, 5, 13 (exponent form: 31, 51, 131)
21 × 51 × 31 × 131 = 390
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--195">What is the LCM of 10 and 195? - 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