Least Common Multiple of 688/91, 185/95, 976/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/91, 185/95, 976/303 quickly i.e. 7764080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/91, 185/95, 976/303 is 7764080.

LCM(688/91, 185/95, 976/303) = 7764080

LCM of 688/91, 185/95, 976/303

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 688/91,185/95,976/303

Given numbers are 688/91,185/95,976/303

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 688,185,976

Least Common Multiple of Numerators i.e. LCM of 688,185,976 is 7764080.

GCF of Denominators means GCF of 91,95,303 as per the given fractions.

GCF of 91,95,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,185,976

LCM of Fractions 688/91,185/95,976/303 is 7764080

2 688, 185, 976
2 344, 185, 488
2 172, 185, 244
2 86, 185, 122
43, 185, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 185 x 61 = 7764080

Least Common Multiple of 688,185,976 with GCF Formula

Least Common Multiple of 688,185,976 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 688,185,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,185,976) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(688,185,976) x common factors =1 x 16 = 16

LCM(688,185,976) = ( 688 × 185 × 976 ) / 16

LCM(688,185,976) = 124225280 / 16

LCM(688,185,976) = 7764080


Lets's calculate GCF of 91,95,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7764080/1

Therefore the LCM of Fractions 688/91,185/95,976/303 is 7764080

Greatest Common Factor of 91,95,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,95,303 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 91,95,303 . The biggest common factor number is the GCF number.
So the greatest common factor 91,95,303 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 688/91, 185/95, 976/303

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 688/91, 185/95, 976/303?

Answer: LCM of Numerators as per given numbers 688/91, 185/95, 976/303 is

LCM of Numerators i.e. for 688,185,976 is 7764080

GCF of denominators i.e. for 91,95,303 is 1.

Thus, LCM of Fractions is 7764080.Finally, LCM of Fractions for 688/91, 185/95, 976/303 is 7764080.