LCM for 10 and 300
What's the Least Common Multiple (LCM) of 10 and 300?
(Three hundred)
Finding LCM for 10 and 300 using GCF's of these numbers
The first method to find LCM for numbers 10 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 300 is 10, so
LCM = (10 × 300) ÷ 10
LCM = 3000 ÷ 10
LCM = 300
Finding LCM for 10 and 300 by Listing Multiples
The second method to find LCM for numbers 10 and 300 is to list out the common multiples for both nubmers and pick the first which matching:
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
Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, 3600, 3900, 4200, 4500, 4800, 5100, 5400, 5700, 6000, 6300, 6600, 6900, 7200, 7500, 7800, 8100, 8400, 8700, 9000, 9300, 9600, [...], 300
So the LCM for 10 and 300 is 300
Finding LCM for 10 and 300 by Prime Factorization
Another method to find LCM for numbers 10 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)
22 × 52 × 31 = 300
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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