Least Common Multiple of 252/269, 696/607, 458/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/269, 696/607, 458/864 quickly i.e. 3347064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/269, 696/607, 458/864 is 3347064.

LCM(252/269, 696/607, 458/864) = 3347064

LCM of 252/269, 696/607, 458/864

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 252/269,696/607,458/864

Given numbers are 252/269,696/607,458/864

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 252,696,458

Least Common Multiple of Numerators i.e. LCM of 252,696,458 is 3347064.

GCF of Denominators means GCF of 269,607,864 as per the given fractions.

GCF of 269,607,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,696,458

LCM of Fractions 252/269,696/607,458/864 is 3347064

2 252, 696, 458
2 126, 348, 229
3 63, 174, 229
21, 58, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 58 x 229 = 3347064

Least Common Multiple of 252,696,458 with GCF Formula

Least Common Multiple of 252,696,458 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 252,696,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,696,458) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(252,696,458) x common factors =2 x 12 = 24

LCM(252,696,458) = ( 252 × 696 × 458 ) / 24

LCM(252,696,458) = 80329536 / 24

LCM(252,696,458) = 3347064


Lets's calculate GCF of 269,607,864

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3347064/1

Therefore the LCM of Fractions 252/269,696/607,458/864 is 3347064

Greatest Common Factor of 269,607,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,607,864 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 269,607,864 . The biggest common factor number is the GCF number.
So the greatest common factor 269,607,864 is 1.


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 252/269, 696/607, 458/864

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 252/269, 696/607, 458/864?

Answer: LCM of Numerators as per given numbers 252/269, 696/607, 458/864 is

LCM of Numerators i.e. for 252,696,458 is 3347064

GCF of denominators i.e. for 269,607,864 is 1.

Thus, LCM of Fractions is 3347064.Finally, LCM of Fractions for 252/269, 696/607, 458/864 is 3347064.