Least Common Multiple of 348, 384, 741, 457, 686

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 348, 384, 741, 457, 686 i.e. 431158046592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 348, 384, 741, 457, 686 is 431158046592.

LCM(348, 384, 741, 457, 686) = 431158046592

LCM of 348, 384, 741, 457, 686

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

LCM of:

Least Common Multiple of 348,384,741,457,686

Least Common Multiple (LCM) of 348,384,741,457,686 is 431158046592

2 348, 384, 741, 457, 686
2 174, 192, 741, 457, 343
3 87, 96, 741, 457, 343
29, 32, 247, 457, 343

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 32 x 247 x 457 x 343 = 431158046592

Least Common Multiple of 348,384,741,457,686 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 348,384,741,457,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,384,741,457,686) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(348,384,741,457,686) x common factors =1 x 72 = 72

LCM(348,384,741,457,686) = ( 348 × 384 × 741 × 457 × 686 ) / 72

LCM(348,384,741,457,686) = 31043379354624 / 72

LCM(348,384,741,457,686) = 431158046592

∴ Least Common Multiple of 348,384,741,457,686 is 431158046592

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 348, 384, 741, 457, 686

1. What is the LCM of 348, 384, 741, 457, 686?

Answer: LCM of 348, 384, 741, 457, 686 is 431158046592.

2. What are the Factors of 431158046592?

Answer: Factors of 431158046592 are . There are integers that are factors of 431158046592

3. How to Find the LCM of 348, 384, 741, 457, 686 ?

Least Common Multiple of 348, 384, 741, 457, 686.

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(348, 384, 741, 457, 686) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 13 x 19 x 29 x 457 = 431158046592.