Least Common Multiple of 675/238, 1935/5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/238, 1935/5664 quickly i.e. 29025/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/238, 1935/5664 is 29025/2.

LCM(675/238, 1935/5664) = 29025/2

LCM of 675/238, 1935/5664

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 675/238,1935/5664

Given numbers are 675/238,1935/5664

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 675,1935

Least Common Multiple of Numerators i.e. LCM of 675,1935 is 29025.

GCF of Denominators means GCF of 238,5664 as per the given fractions.

GCF of 238,5664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,1935

LCM of Fractions 675/238,1935/5664 is 29025/2

3 675, 1935
3 225, 645
5 75, 215
15, 43

∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 43 = 29025

Least Common Multiple of 675,1935 with GCF Formula

Least Common Multiple of 675,1935 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 675,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,1935) = 45

common factors(in case of two or more numbers have common factors) = 1

GCF(675,1935) x common factors =45 x 1 = 45

LCM(675,1935) = ( 675 × 1935 ) / 45

LCM(675,1935) = 1306125 / 45

LCM(675,1935) = 29025


Lets's calculate GCF of 238,5664

2 238, 5664
119, 2832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29025/2

Therefore the LCM of Fractions 675/238,1935/5664 is 29025/2

Greatest Common Factor of 238,5664 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,5664 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Greatest Common Factor

We found the factors 238,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 238,5664 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 675/238, 1935/5664

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 675/238, 1935/5664?

Answer: LCM of Numerators as per given numbers 675/238, 1935/5664 is

LCM of Numerators i.e. for 675,1935 is 29025

GCF of denominators i.e. for 238,5664 is 2.

Thus, LCM of Fractions is 29025/2.Finally, LCM of Fractions for 675/238, 1935/5664 is 29025/2.