Least Common Multiple of 91, 42, 48, 49

Q: How to Find the LCM of 91, 42, 48, 49 ?

Least Common Multiple of 91, 42, 48, 49 = 30576 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(91, 42, 48, 49) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 = 30576.

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 91, 42, 48, 49 i.e. 30576 smallest integer divisible by all numbers.

Least common multiple (LCM) of 91, 42, 48, 49 is 30576.

LCM(91, 42, 48, 49) = 30576

LCM of 91, 42, 48, 49

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

Least Common Multiple of 91, 42, 48, 49 by common division method
Least Common Multiple of 91, 42, 48, 49 with GCF Formula

Least Common Multiple of 91,42,48,49

Least Common Multiple (LCM) of 91,42,48,49 is 30576

2	91, 42, 48, 49
3	91, 21, 24, 49
7	91, 7, 8, 49
	13, 1, 8, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 1 x 8 x 7 = 30576

Least Common Multiple of 91,42,48,49 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 91,42,48,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,42,48,49) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(91,42,48,49) x common factors =1 x 294 = 294

LCM(91,42,48,49) = ( 91 × 42 × 48 × 49 ) / 294

LCM(91,42,48,49) = 8989344 / 294

LCM(91,42,48,49) = 30576

∴ Least Common Multiple of 91,42,48,49 is 30576

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 91, 42, 48, 49

1. What is the LCM of 91, 42, 48, 49?

Answer: LCM of 91, 42, 48, 49 is 30576.

2. What are the Factors of 30576?

Answer: Factors of 30576 are . There are integers that are factors of 30576

3. How to Find the LCM of 91, 42, 48, 49 ?

Least Common Multiple of 91, 42, 48, 49.

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(91, 42, 48, 49) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 = 30576.