Least Common Multiple of 70, 65, 45, 420

Q: How to Find the LCM of 70, 65, 45, 420 ?

Least Common Multiple of 70, 65, 45, 420 = 16380 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(70, 65, 45, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 13 = 16380.

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 70, 65, 45, 420 i.e. 16380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 70, 65, 45, 420 is 16380.

LCM(70, 65, 45, 420) = 16380

LCM of 70, 65, 45, 420

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

Least Common Multiple of 70, 65, 45, 420 by common division method
Least Common Multiple of 70, 65, 45, 420 with GCF Formula

Least Common Multiple of 70,65,45,420

Least Common Multiple (LCM) of 70,65,45,420 is 16380

2	70, 65, 45, 420
3	35, 65, 45, 210
5	35, 65, 15, 70
7	7, 13, 3, 14
	1, 13, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 13 x 3 x 2 = 16380

Least Common Multiple of 70,65,45,420 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 70,65,45,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,65,45,420) = 5

common factors(in case of two or more numbers have common factors) = 1050

GCF(70,65,45,420) x common factors =5 x 1050 = 5250

LCM(70,65,45,420) = ( 70 × 65 × 45 × 420 ) / 5250

LCM(70,65,45,420) = 85995000 / 5250

LCM(70,65,45,420) = 16380

∴ Least Common Multiple of 70,65,45,420 is 16380

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 70, 65, 45, 420

1. What is the LCM of 70, 65, 45, 420?

Answer: LCM of 70, 65, 45, 420 is 16380.

2. What are the Factors of 16380?

Answer: Factors of 16380 are . There are integers that are factors of 16380

3. How to Find the LCM of 70, 65, 45, 420 ?

Least Common Multiple of 70, 65, 45, 420.

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(70, 65, 45, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 13 = 16380.