Least Common Multiple of 76, 48, 74, 38

Q: How to Find the LCM of 76, 48, 74, 38 ?

Least Common Multiple of 76, 48, 74, 38 = 33744 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(76, 48, 74, 38) = 2 x 2 x 2 x 2 x 3 x 19 x 37 = 33744.

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 76, 48, 74, 38 i.e. 33744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 48, 74, 38 is 33744.

LCM(76, 48, 74, 38) = 33744

LCM of 76, 48, 74, 38

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

Least Common Multiple of 76, 48, 74, 38 by common division method
Least Common Multiple of 76, 48, 74, 38 with GCF Formula

Least Common Multiple of 76,48,74,38

Least Common Multiple (LCM) of 76,48,74,38 is 33744

2	76, 48, 74, 38
2	38, 24, 37, 19
19	19, 12, 37, 19
	1, 12, 37, 1

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 12 x 37 x 1 = 33744

Least Common Multiple of 76,48,74,38 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 76,48,74,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,48,74,38) = 2

common factors(in case of two or more numbers have common factors) = 152

GCF(76,48,74,38) x common factors =2 x 152 = 304

LCM(76,48,74,38) = ( 76 × 48 × 74 × 38 ) / 304

LCM(76,48,74,38) = 10258176 / 304

LCM(76,48,74,38) = 33744

∴ Least Common Multiple of 76,48,74,38 is 33744

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 76, 48, 74, 38

1. What is the LCM of 76, 48, 74, 38?

Answer: LCM of 76, 48, 74, 38 is 33744.

2. What are the Factors of 33744?

Answer: Factors of 33744 are . There are integers that are factors of 33744

3. How to Find the LCM of 76, 48, 74, 38 ?

Least Common Multiple of 76, 48, 74, 38.

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(76, 48, 74, 38) = 2 x 2 x 2 x 2 x 3 x 19 x 37 = 33744.