Least Common Multiple of 40, 87, 348
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 40, 87, 348 i.e. 3480 smallest integer divisible by all numbers.
Least common multiple (LCM) of 40, 87, 348 is 3480.
LCM(40, 87, 348) = 3480
LCM of 40, 87, 348
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 40, 87, 348 by common division method
- Least Common Multiple of 40, 87, 348 with GCF Formula
Least Common Multiple (LCM) of 40,87,348 is 3480
| 2 | 40, 87, 348 |
| 2 | 20, 87, 174 |
| 3 | 10, 87, 87 |
| 29 | 10, 29, 29 |
| 10, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 10 x 1 x 1 = 3480
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 40,87,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,87,348) = 1
common factors(in case of two or more numbers have common factors) = 348
GCF(40,87,348) x common factors =1 x 348 = 348
LCM(40,87,348) = ( 40 × 87 × 348 ) / 348
LCM(40,87,348) = 1211040 / 348
LCM(40,87,348) = 3480
∴ Least Common Multiple of 40,87,348 is 3480
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 40, 87, 348
1. What is the LCM of 40, 87, 348?
Answer: LCM of 40, 87, 348 is 3480.
2. What are the Factors of 3480?
Answer: Factors of 3480 are . There are integers that are factors of 3480
3. How to Find the LCM of 40, 87, 348 ?
Least Common Multiple of 40, 87, 348.
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(40, 87, 348) = 2 x 2 x 2 x 3 x 5 x 29 = 3480.