Least Common Multiple of 354, 368, 300, 845, 493

Q: How to Find the LCM of 354, 368, 300, 845, 493 ?

Least Common Multiple of 354, 368, 300, 845, 493 = 135673402800 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(354, 368, 300, 845, 493) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 13 x 17 x 23 x 29 x 59 = 135673402800.

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 354, 368, 300, 845, 493 i.e. 135673402800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 354, 368, 300, 845, 493 is 135673402800.

LCM(354, 368, 300, 845, 493) = 135673402800

LCM of 354, 368, 300, 845, 493

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

Least Common Multiple of 354, 368, 300, 845, 493 by common division method
Least Common Multiple of 354, 368, 300, 845, 493 with GCF Formula

Least Common Multiple of 354,368,300,845,493

Least Common Multiple (LCM) of 354,368,300,845,493 is 135673402800

2	354, 368, 300, 845, 493
2	177, 184, 150, 845, 493
3	177, 92, 75, 845, 493
5	59, 92, 25, 845, 493
	59, 92, 5, 169, 493

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 59 x 92 x 5 x 169 x 493 = 135673402800

Least Common Multiple of 354,368,300,845,493 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 354,368,300,845,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,368,300,845,493) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(354,368,300,845,493) x common factors =1 x 120 = 120

LCM(354,368,300,845,493) = ( 354 × 368 × 300 × 845 × 493 ) / 120

LCM(354,368,300,845,493) = 16280808336000 / 120

LCM(354,368,300,845,493) = 135673402800

∴ Least Common Multiple of 354,368,300,845,493 is 135673402800

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 354, 368, 300, 845, 493

1. What is the LCM of 354, 368, 300, 845, 493?

Answer: LCM of 354, 368, 300, 845, 493 is 135673402800.

2. What are the Factors of 135673402800?

Answer: Factors of 135673402800 are . There are integers that are factors of 135673402800

3. How to Find the LCM of 354, 368, 300, 845, 493 ?

Least Common Multiple of 354, 368, 300, 845, 493.

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(354, 368, 300, 845, 493) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 13 x 17 x 23 x 29 x 59 = 135673402800.