Least Common Multiple of 69/642, 335/708, 504/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/642, 335/708, 504/220 quickly i.e. 1941660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/642, 335/708, 504/220 is 1941660.

LCM(69/642, 335/708, 504/220) = 1941660

LCM of 69/642, 335/708, 504/220

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 69/642,335/708,504/220

Given numbers are 69/642,335/708,504/220

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 69,335,504

Least Common Multiple of Numerators i.e. LCM of 69,335,504 is 3883320.

GCF of Denominators means GCF of 642,708,220 as per the given fractions.

GCF of 642,708,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,335,504

LCM of Fractions 69/642,335/708,504/220 is 1941660

3 69, 335, 504
23, 335, 168

∴ So the LCM of the given numbers is 3 x 23 x 335 x 168 = 3883320

Least Common Multiple of 69,335,504 with GCF Formula

Least Common Multiple of 69,335,504 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 69,335,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,335,504) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,335,504) x common factors =1 x 3 = 3

LCM(69,335,504) = ( 69 × 335 × 504 ) / 3

LCM(69,335,504) = 11649960 / 3

LCM(69,335,504) = 3883320


Lets's calculate GCF of 642,708,220

2 642, 708, 220
321, 354, 110

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3883320/2

Therefore the LCM of Fractions 69/642,335/708,504/220 is 1941660

Greatest Common Factor of 642,708,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,708,220 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 642,708,220 . The biggest common factor number is the GCF number.
So the greatest common factor 642,708,220 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 69/642, 335/708, 504/220

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 69/642, 335/708, 504/220?

Answer: LCM of Numerators as per given numbers 69/642, 335/708, 504/220 is

LCM of Numerators i.e. for 69,335,504 is 3883320

GCF of denominators i.e. for 642,708,220 is 2.

Thus, LCM of Fractions is 1941660.Finally, LCM of Fractions for 69/642, 335/708, 504/220 is 1941660.