LCM for 10 and 84
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 10 and 84?
(Four hundred twenty)
Finding LCM for 10 and 84 using GCF's of these numbers
The first method to find LCM for numbers 10 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 84 is 2, so
LCM = (10 × 84) ÷ 2
LCM = 840 ÷ 2
LCM = 420
Finding LCM for 10 and 84 by Listing Multiples
The second method to find LCM for numbers 10 and 84 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, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440
Multiples of 84: 84, 168, 252, 336, 420, 504, 588
So the LCM for 10 and 84 is 420
Finding LCM for 10 and 84 by Prime Factorization
Another method to find LCM for numbers 10 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)
22 × 51 × 31 × 71 = 420
Related Calculations
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 10 and 84?
See Also
- What is the LCM of 10 and 27?
- What is the LCM of 10 and 30?
- What is the LCM of 10 and 33?
- What is the LCM of 10 and 34?
- What is the LCM of 10 and 35?
- What is the LCM of 10 and 36?
- What is the LCM of 10 and 40?
- What is the LCM of 10 and 45?
- What is the LCM of 10 and 60?
- What is the LCM of 10 and 80?
- What is the LCM of 10 and 100?
- What is the LCM of 10 and 105?
- What is the LCM of 10 and 170?
- What is the LCM of 10 and 185?
- What is the LCM of 10 and 300?
- What is the LCM of 10 and 340?
- What is the LCM of 10 and 360?
- What is the LCM of 10 and 380?
- What is the LCM of 10 and 420?
- What is the LCM of 10 and 500?
- Наименьшее общее кратное 10 и 84