Least Common Multiple of 88, 16, 21, 249

Q: How to Find the LCM of 88, 16, 21, 249 ?

Least Common Multiple of 88, 16, 21, 249 = 306768 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(88, 16, 21, 249) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 83 = 306768.

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 88, 16, 21, 249 i.e. 306768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 88, 16, 21, 249 is 306768.

LCM(88, 16, 21, 249) = 306768

LCM of 88, 16, 21, 249

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

Least Common Multiple of 88, 16, 21, 249 by common division method
Least Common Multiple of 88, 16, 21, 249 with GCF Formula

Least Common Multiple of 88,16,21,249

Least Common Multiple (LCM) of 88,16,21,249 is 306768

2	88, 16, 21, 249
2	44, 8, 21, 249
2	22, 4, 21, 249
3	11, 2, 21, 249
	11, 2, 7, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 2 x 7 x 83 = 306768

Least Common Multiple of 88,16,21,249 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 88,16,21,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,16,21,249) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(88,16,21,249) x common factors =1 x 24 = 24

LCM(88,16,21,249) = ( 88 × 16 × 21 × 249 ) / 24

LCM(88,16,21,249) = 7362432 / 24

LCM(88,16,21,249) = 306768

∴ Least Common Multiple of 88,16,21,249 is 306768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 88, 16, 21, 249

1. What is the LCM of 88, 16, 21, 249?

Answer: LCM of 88, 16, 21, 249 is 306768.

2. What are the Factors of 306768?

Answer: Factors of 306768 are . There are integers that are factors of 306768

3. How to Find the LCM of 88, 16, 21, 249 ?

Least Common Multiple of 88, 16, 21, 249.

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(88, 16, 21, 249) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 83 = 306768.