Least Common Multiple of 442, 221, 378, 735

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 442, 221, 378, 735 i.e. 2923830 smallest integer divisible by all numbers.

Least common multiple (LCM) of 442, 221, 378, 735 is 2923830.

LCM(442, 221, 378, 735) = 2923830

LCM of 442, 221, 378, 735

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

LCM of:

Least Common Multiple of 442,221,378,735

Least Common Multiple (LCM) of 442,221,378,735 is 2923830

2 442, 221, 378, 735
3 221, 221, 189, 735
7 221, 221, 63, 245
13 221, 221, 9, 35
17 17, 17, 9, 35
1, 1, 9, 35

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 17 x 1 x 1 x 9 x 35 = 2923830

Least Common Multiple of 442,221,378,735 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 442,221,378,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,221,378,735) = 1

common factors(in case of two or more numbers have common factors) = 9282

GCF(442,221,378,735) x common factors =1 x 9282 = 9282

LCM(442,221,378,735) = ( 442 × 221 × 378 × 735 ) / 9282

LCM(442,221,378,735) = 27138990060 / 9282

LCM(442,221,378,735) = 2923830

∴ Least Common Multiple of 442,221,378,735 is 2923830

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 442, 221, 378, 735

1. What is the LCM of 442, 221, 378, 735?

Answer: LCM of 442, 221, 378, 735 is 2923830.

2. What are the Factors of 2923830?

Answer: Factors of 2923830 are . There are integers that are factors of 2923830

3. How to Find the LCM of 442, 221, 378, 735 ?

Least Common Multiple of 442, 221, 378, 735.

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(442, 221, 378, 735) = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 13 x 17 = 2923830.