Least Common Multiple of 85, 84, 105, 100

Q: How to Find the LCM of 85, 84, 105, 100 ?

Least Common Multiple of 85, 84, 105, 100 = 35700 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(85, 84, 105, 100) = 2 x 2 x 3 x 5 x 5 x 7 x 17 = 35700.

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 85, 84, 105, 100 i.e. 35700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 85, 84, 105, 100 is 35700.

LCM(85, 84, 105, 100) = 35700

LCM of 85, 84, 105, 100

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 85, 84, 105, 100 by common division method
Least Common Multiple of 85, 84, 105, 100 with GCF Formula

Least Common Multiple of 85,84,105,100

Least Common Multiple (LCM) of 85,84,105,100 is 35700

2	85, 84, 105, 100
2	85, 42, 105, 50
3	85, 21, 105, 25
5	85, 7, 35, 25
7	17, 7, 7, 5
	17, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 17 x 1 x 1 x 5 = 35700

Least Common Multiple of 85,84,105,100 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,84,105,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,84,105,100) = 1

common factors(in case of two or more numbers have common factors) = 2100

GCF(85,84,105,100) x common factors =1 x 2100 = 2100

LCM(85,84,105,100) = ( 85 × 84 × 105 × 100 ) / 2100

LCM(85,84,105,100) = 74970000 / 2100

LCM(85,84,105,100) = 35700

∴ Least Common Multiple of 85,84,105,100 is 35700

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 85, 84, 105, 100

1. What is the LCM of 85, 84, 105, 100?

Answer: LCM of 85, 84, 105, 100 is 35700.

2. What are the Factors of 35700?

Answer: Factors of 35700 are . There are integers that are factors of 35700

3. How to Find the LCM of 85, 84, 105, 100 ?

Least Common Multiple of 85, 84, 105, 100.

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(85, 84, 105, 100) = 2 x 2 x 3 x 5 x 5 x 7 x 17 = 35700.