Least Common Multiple of 475, 378, 992, 972, 862

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 475, 378, 992, 972, 862 i.e. 345451327200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 475, 378, 992, 972, 862 is 345451327200.

LCM(475, 378, 992, 972, 862) = 345451327200

LCM of 475, 378, 992, 972, 862

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

LCM of:

Least Common Multiple of 475,378,992,972,862

Least Common Multiple (LCM) of 475,378,992,972,862 is 345451327200

2 475, 378, 992, 972, 862
2 475, 189, 496, 486, 431
3 475, 189, 248, 243, 431
3 475, 63, 248, 81, 431
3 475, 21, 248, 27, 431
475, 7, 248, 9, 431

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 475 x 7 x 248 x 9 x 431 = 345451327200

Least Common Multiple of 475,378,992,972,862 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 475,378,992,972,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,378,992,972,862) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(475,378,992,972,862) x common factors =1 x 432 = 432

LCM(475,378,992,972,862) = ( 475 × 378 × 992 × 972 × 862 ) / 432

LCM(475,378,992,972,862) = 149234973350400 / 432

LCM(475,378,992,972,862) = 345451327200

∴ Least Common Multiple of 475,378,992,972,862 is 345451327200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 475, 378, 992, 972, 862

1. What is the LCM of 475, 378, 992, 972, 862?

Answer: LCM of 475, 378, 992, 972, 862 is 345451327200.

2. What are the Factors of 345451327200?

Answer: Factors of 345451327200 are . There are integers that are factors of 345451327200

3. How to Find the LCM of 475, 378, 992, 972, 862 ?

Least Common Multiple of 475, 378, 992, 972, 862.

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(475, 378, 992, 972, 862) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 19 x 31 x 431 = 345451327200.