Least Common Multiple of 896, 342, 322, 750

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 896, 342, 322, 750 i.e. 440496000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 896, 342, 322, 750 is 440496000.

LCM(896, 342, 322, 750) = 440496000

LCM of 896, 342, 322, 750

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

LCM of:

Least Common Multiple of 896,342,322,750

Least Common Multiple (LCM) of 896,342,322,750 is 440496000

2 896, 342, 322, 750
3 448, 171, 161, 375
7 448, 57, 161, 125
64, 57, 23, 125

∴ So the LCM of the given numbers is 2 x 3 x 7 x 64 x 57 x 23 x 125 = 440496000

Least Common Multiple of 896,342,322,750 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 896,342,322,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,342,322,750) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(896,342,322,750) x common factors =2 x 84 = 168

LCM(896,342,322,750) = ( 896 × 342 × 322 × 750 ) / 168

LCM(896,342,322,750) = 74003328000 / 168

LCM(896,342,322,750) = 440496000

∴ Least Common Multiple of 896,342,322,750 is 440496000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 896, 342, 322, 750

1. What is the LCM of 896, 342, 322, 750?

Answer: LCM of 896, 342, 322, 750 is 440496000.

2. What are the Factors of 440496000?

Answer: Factors of 440496000 are . There are integers that are factors of 440496000

3. How to Find the LCM of 896, 342, 322, 750 ?

Least Common Multiple of 896, 342, 322, 750.

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(896, 342, 322, 750) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 19 x 23 = 440496000.