LCM for 28 and 50
What's the Least Common Multiple (LCM) of 28 and 50?
Answer
(Seven hundred)
Finding LCM for 28 and 50 using GCF of these numbers
The first method to find LCM for numbers 28 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 28 and 50 is 2, so
LCM = (28 × 50) ÷ 2
LCM = 1400 ÷ 2
LCM = 700
Finding LCM for 28 and 50 by Listing Multiples
The second method to find LCM for numbers 28 and 50 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800
So the LCM for 28 and 50 is 700
Finding LCM for 28 and 50 by Prime Factorization
Another method to find LCM for numbers 28 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
22 × 71 × 52 = 700
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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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