LCM for 10 and 145
What's the Least Common Multiple (LCM) of 10 and 145?
Answer
(Two hundred ninety)
Finding LCM for 10 and 145 using GCF of these numbers
The first method to find LCM for numbers 10 and 145 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 145 is 5, so
LCM = (10 × 145) ÷ 5
LCM = 1450 ÷ 5
LCM = 290
Finding LCM for 10 and 145 by Listing Multiples
The second method to find LCM for numbers 10 and 145 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
Multiples of 145: 145, 290, 435, 580
So the LCM for 10 and 145 is 290
Finding LCM for 10 and 145 by Prime Factorization
Another method to find LCM for numbers 10 and 145 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 145: 5, 29 (exponent form: 51, 291)
21 × 51 × 291 = 290
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--145">What is the LCM of 10 and 145? - 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