Least Common Multiple of 48, 72, 96, 467

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 48, 72, 96, 467 i.e. 134496 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 72, 96, 467 is 134496.

LCM(48, 72, 96, 467) = 134496

LCM of 48, 72, 96, 467

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

LCM of:

Least Common Multiple of 48,72,96,467

Least Common Multiple (LCM) of 48,72,96,467 is 134496

2 48, 72, 96, 467
2 24, 36, 48, 467
2 12, 18, 24, 467
2 6, 9, 12, 467
3 3, 9, 6, 467
1, 3, 2, 467

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 3 x 2 x 467 = 134496

Least Common Multiple of 48,72,96,467 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,72,96,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,72,96,467) = 1

common factors(in case of two or more numbers have common factors) = 1152

GCF(48,72,96,467) x common factors =1 x 1152 = 1152

LCM(48,72,96,467) = ( 48 × 72 × 96 × 467 ) / 1152

LCM(48,72,96,467) = 154939392 / 1152

LCM(48,72,96,467) = 134496

∴ Least Common Multiple of 48,72,96,467 is 134496

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 48, 72, 96, 467

1. What is the LCM of 48, 72, 96, 467?

Answer: LCM of 48, 72, 96, 467 is 134496.

2. What are the Factors of 134496?

Answer: Factors of 134496 are . There are integers that are factors of 134496

3. How to Find the LCM of 48, 72, 96, 467 ?

Least Common Multiple of 48, 72, 96, 467.

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(48, 72, 96, 467) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 467 = 134496.