Least Common Multiple of 101, 342, 378, 448

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 101, 342, 378, 448 i.e. 23212224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 101, 342, 378, 448 is 23212224.

LCM(101, 342, 378, 448) = 23212224

LCM of 101, 342, 378, 448

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

LCM of:

Least Common Multiple of 101,342,378,448

Least Common Multiple (LCM) of 101,342,378,448 is 23212224

2 101, 342, 378, 448
3 101, 171, 189, 224
3 101, 57, 63, 224
7 101, 19, 21, 224
101, 19, 3, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 101 x 19 x 3 x 32 = 23212224

Least Common Multiple of 101,342,378,448 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 101,342,378,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,342,378,448) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(101,342,378,448) x common factors =1 x 252 = 252

LCM(101,342,378,448) = ( 101 × 342 × 378 × 448 ) / 252

LCM(101,342,378,448) = 5849480448 / 252

LCM(101,342,378,448) = 23212224

∴ Least Common Multiple of 101,342,378,448 is 23212224

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 101, 342, 378, 448

1. What is the LCM of 101, 342, 378, 448?

Answer: LCM of 101, 342, 378, 448 is 23212224.

2. What are the Factors of 23212224?

Answer: Factors of 23212224 are . There are integers that are factors of 23212224

3. How to Find the LCM of 101, 342, 378, 448 ?

Least Common Multiple of 101, 342, 378, 448.

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(101, 342, 378, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 x 101 = 23212224.