Least Common Multiple of 105, 120, 35
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 105, 120, 35 i.e. 840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 105, 120, 35 is 840.
LCM(105, 120, 35) = 840
LCM of 105, 120, 35
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 105, 120, 35 by common division method
- Least Common Multiple of 105, 120, 35 with GCF Formula
Least Common Multiple (LCM) of 105,120,35 is 840
| 3 | 105, 120, 35 |
| 5 | 35, 40, 35 |
| 7 | 7, 8, 7 |
| 1, 8, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 8 x 1 = 840
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 105,120,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,120,35) = 5
common factors(in case of two or more numbers have common factors) = 105
GCF(105,120,35) x common factors =5 x 105 = 525
LCM(105,120,35) = ( 105 × 120 × 35 ) / 525
LCM(105,120,35) = 441000 / 525
LCM(105,120,35) = 840
∴ Least Common Multiple of 105,120,35 is 840
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 105, 120, 35
1. What is the LCM of 105, 120, 35?
Answer: LCM of 105, 120, 35 is 840.
2. What are the Factors of 840?
Answer: Factors of 840 are . There are integers that are factors of 840
3. How to Find the LCM of 105, 120, 35 ?
Least Common Multiple of 105, 120, 35.
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(105, 120, 35) = 2 x 2 x 2 x 3 x 5 x 7 = 840.