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 3500, 1120 i.e. 28000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 3500, 1120 is 28000.
LCM(3500, 1120) = 28000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 3500, 1120 |
2 | 1750, 560 |
5 | 875, 280 |
7 | 175, 56 |
25, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 25 x 8 = 28000
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 3500,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3500,1120) = 140
common factors(in case of two or more numbers have common factors) = 1
GCF(3500,1120) x common factors =140 x 1 = 140
LCM(3500,1120) = ( 3500 × 1120 ) / 140
LCM(3500,1120) = 3920000 / 140
LCM(3500,1120) = 28000
∴ Least Common Multiple of 3500,1120 is 28000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3500, 1120?
Answer: LCM of 3500, 1120 is 28000.
2. What are the Factors of 28000?
Answer: Factors of 28000 are . There are integers that are factors of 28000
3. How to Find the LCM of 3500, 1120 ?
Least Common Multiple of 3500, 1120.
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(3500, 1120) = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 = 28000.