Least Common Multiple of 875, 1400
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 875, 1400 i.e. 7000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 875, 1400 is 7000.
LCM(875, 1400) = 7000
LCM of 875, 1400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 875, 1400 by common division method
- Least Common Multiple of 875, 1400 with GCF Formula
Least Common Multiple (LCM) of 875,1400 is 7000
| 5 | 875, 1400 |
| 5 | 175, 280 |
| 7 | 35, 56 |
| 5, 8 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 5 x 8 = 7000
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 875,1400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1400) = 175
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1400) x common factors =175 x 1 = 175
LCM(875,1400) = ( 875 × 1400 ) / 175
LCM(875,1400) = 1225000 / 175
LCM(875,1400) = 7000
∴ Least Common Multiple of 875,1400 is 7000
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Frequently Asked Questions on LCM of 875, 1400
1. What is the LCM of 875, 1400?
Answer: LCM of 875, 1400 is 7000.
2. What are the Factors of 7000?
Answer: Factors of 7000 are . There are integers that are factors of 7000
3. How to Find the LCM of 875, 1400 ?
Least Common Multiple of 875, 1400.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(875, 1400) = 2 x 2 x 2 x 5 x 5 x 5 x 7 = 7000.