Least Common Multiple of 414, 424, 276

Q: How to Find the LCM of 414, 424, 276 ?

Least Common Multiple of 414, 424, 276 = 87768 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, 424, 276) = 2 x 2 x 2 x 3 x 3 x 23 x 53 = 87768.

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, 424, 276 i.e. 87768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 414, 424, 276 is 87768.

LCM(414, 424, 276) = 87768

LCM of 414, 424, 276

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

Least Common Multiple of 414, 424, 276 by common division method
Least Common Multiple of 414, 424, 276 with GCF Formula

Least Common Multiple of 414,424,276

Least Common Multiple (LCM) of 414,424,276 is 87768

2	414, 424, 276
2	207, 212, 138
3	207, 106, 69
23	23, 106, 69
	1, 106, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 106 x 3 = 87768

Least Common Multiple of 414,424,276 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 414,424,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,424,276) = 2

common factors(in case of two or more numbers have common factors) = 276

GCF(414,424,276) x common factors =2 x 276 = 552

LCM(414,424,276) = ( 414 × 424 × 276 ) / 552

LCM(414,424,276) = 48447936 / 552

LCM(414,424,276) = 87768

∴ Least Common Multiple of 414,424,276 is 87768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 414, 424, 276

1. What is the LCM of 414, 424, 276?

Answer: LCM of 414, 424, 276 is 87768.

2. What are the Factors of 87768?

Answer: Factors of 87768 are . There are integers that are factors of 87768

3. How to Find the LCM of 414, 424, 276 ?

Least Common Multiple of 414, 424, 276.

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, 424, 276) = 2 x 2 x 2 x 3 x 3 x 23 x 53 = 87768.