Least Common Multiple of 29, 30, 870
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 29, 30, 870 i.e. 870 smallest integer divisible by all numbers.
Least common multiple (LCM) of 29, 30, 870 is 870.
LCM(29, 30, 870) = 870
LCM of 29, 30, 870
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 29, 30, 870 by common division method
- Least Common Multiple of 29, 30, 870 with GCF Formula
Least Common Multiple (LCM) of 29,30,870 is 870
| 2 | 29, 30, 870 |
| 3 | 29, 15, 435 |
| 5 | 29, 5, 145 |
| 29 | 29, 1, 29 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 1 x 1 x 1 = 870
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 29,30,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,30,870) = 1
common factors(in case of two or more numbers have common factors) = 870
GCF(29,30,870) x common factors =1 x 870 = 870
LCM(29,30,870) = ( 29 × 30 × 870 ) / 870
LCM(29,30,870) = 756900 / 870
LCM(29,30,870) = 870
∴ Least Common Multiple of 29,30,870 is 870
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 29, 30, 870
1. What is the LCM of 29, 30, 870?
Answer: LCM of 29, 30, 870 is 870.
2. What are the Factors of 870?
Answer: Factors of 870 are . There are integers that are factors of 870
3. How to Find the LCM of 29, 30, 870 ?
Least Common Multiple of 29, 30, 870.
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(29, 30, 870) = 2 x 3 x 5 x 29 = 870.