Least Common Multiple of 414, 400, 225, 169, 360

Q: How to Find the LCM of 414, 400, 225, 169, 360 ?

Least Common Multiple of 414, 400, 225, 169, 360 = 13993200 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(414, 400, 225, 169, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 13 x 23 = 13993200.

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 414, 400, 225, 169, 360 i.e. 13993200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 414, 400, 225, 169, 360 is 13993200.

LCM(414, 400, 225, 169, 360) = 13993200

LCM of 414, 400, 225, 169, 360

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

Least Common Multiple of 414, 400, 225, 169, 360 by common division method
Least Common Multiple of 414, 400, 225, 169, 360 with GCF Formula

Least Common Multiple of 414,400,225,169,360

Least Common Multiple (LCM) of 414,400,225,169,360 is 13993200

2	414, 400, 225, 169, 360
2	207, 200, 225, 169, 180
2	207, 100, 225, 169, 90
3	207, 50, 225, 169, 45
3	69, 50, 75, 169, 15
5	23, 50, 25, 169, 5
5	23, 10, 1, 169, 5
	23, 2, 1, 169, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 23 x 2 x 1 x 169 x 1 = 13993200

Least Common Multiple of 414,400,225,169,360 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 414,400,225,169,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,400,225,169,360) = 1

common factors(in case of two or more numbers have common factors) = 162000

GCF(414,400,225,169,360) x common factors =1 x 162000 = 162000

LCM(414,400,225,169,360) = ( 414 × 400 × 225 × 169 × 360 ) / 162000

LCM(414,400,225,169,360) = 2266898400000 / 162000

LCM(414,400,225,169,360) = 13993200

∴ Least Common Multiple of 414,400,225,169,360 is 13993200

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 414, 400, 225, 169, 360

1. What is the LCM of 414, 400, 225, 169, 360?

Answer: LCM of 414, 400, 225, 169, 360 is 13993200.

2. What are the Factors of 13993200?

Answer: Factors of 13993200 are . There are integers that are factors of 13993200

3. How to Find the LCM of 414, 400, 225, 169, 360 ?

Least Common Multiple of 414, 400, 225, 169, 360.

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(414, 400, 225, 169, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 13 x 23 = 13993200.