LCM for 7 and 50
What's the Least Common Multiple (LCM) of 7 and 50?
Answer
(Three hundred fifty)
Finding LCM for 7 and 50 using GCF of these numbers
The first method to find LCM for numbers 7 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 50 is 1, so
LCM = (7 × 50) ÷ 1
LCM = 350 ÷ 1
LCM = 350
Finding LCM for 7 and 50 by Listing Multiples
The second method to find LCM for numbers 7 and 50 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450
So the LCM for 7 and 50 is 350
Finding LCM for 7 and 50 by Prime Factorization
Another method to find LCM for numbers 7 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
71 × 21 × 52 = 350
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/7--50">What is the LCM of 7 and 50? - 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