Least Common Multiple of 13, 74, 90, 49, 143

Q: How to Find the LCM of 13, 74, 90, 49, 143 ?

Least Common Multiple of 13, 74, 90, 49, 143 = 23333310 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(13, 74, 90, 49, 143) = 2 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 37 = 23333310.

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 13, 74, 90, 49, 143 i.e. 23333310 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 74, 90, 49, 143 is 23333310.

LCM(13, 74, 90, 49, 143) = 23333310

LCM of 13, 74, 90, 49, 143

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

Least Common Multiple of 13, 74, 90, 49, 143 by common division method
Least Common Multiple of 13, 74, 90, 49, 143 with GCF Formula

Least Common Multiple of 13,74,90,49,143

Least Common Multiple (LCM) of 13,74,90,49,143 is 23333310

2	13, 74, 90, 49, 143
13	13, 37, 45, 49, 143
	1, 37, 45, 49, 11

∴ So the LCM of the given numbers is 2 x 13 x 1 x 37 x 45 x 49 x 11 = 23333310

Least Common Multiple of 13,74,90,49,143 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 13,74,90,49,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,74,90,49,143) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,74,90,49,143) x common factors =1 x 26 = 26

LCM(13,74,90,49,143) = ( 13 × 74 × 90 × 49 × 143 ) / 26

LCM(13,74,90,49,143) = 606666060 / 26

LCM(13,74,90,49,143) = 23333310

∴ Least Common Multiple of 13,74,90,49,143 is 23333310

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 13, 74, 90, 49, 143

1. What is the LCM of 13, 74, 90, 49, 143?

Answer: LCM of 13, 74, 90, 49, 143 is 23333310.

2. What are the Factors of 23333310?

Answer: Factors of 23333310 are . There are integers that are factors of 23333310

3. How to Find the LCM of 13, 74, 90, 49, 143 ?

Least Common Multiple of 13, 74, 90, 49, 143.

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(13, 74, 90, 49, 143) = 2 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 37 = 23333310.