Least Common Multiple of 76/707, 451/577, 691/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/707, 451/577, 691/182 quickly i.e. 23684716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/707, 451/577, 691/182 is 23684716.

LCM(76/707, 451/577, 691/182) = 23684716

LCM of 76/707, 451/577, 691/182

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 76/707,451/577,691/182

Given numbers are 76/707,451/577,691/182

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 76,451,691

Least Common Multiple of Numerators i.e. LCM of 76,451,691 is 23684716.

GCF of Denominators means GCF of 707,577,182 as per the given fractions.

GCF of 707,577,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,451,691

LCM of Fractions 76/707,451/577,691/182 is 23684716

Given numbers has no common factors except 1. So, there LCM is their product i.e 23684716

Least Common Multiple of 76,451,691 with GCF Formula

Least Common Multiple of 76,451,691 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 76,451,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,451,691) = 1

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

GCF(76,451,691) x common factors =1 x 1 = 1

LCM(76,451,691) = ( 76 × 451 × 691 ) / 1

LCM(76,451,691) = 23684716 / 1

LCM(76,451,691) = 23684716


Lets's calculate GCF of 707,577,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23684716/1

Therefore the LCM of Fractions 76/707,451/577,691/182 is 23684716

Greatest Common Factor of 707,577,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,577,182 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 707,577,182 . The biggest common factor number is the GCF number.
So the greatest common factor 707,577,182 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 76/707, 451/577, 691/182

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 76/707, 451/577, 691/182?

Answer: LCM of Numerators as per given numbers 76/707, 451/577, 691/182 is

LCM of Numerators i.e. for 76,451,691 is 23684716

GCF of denominators i.e. for 707,577,182 is 1.

Thus, LCM of Fractions is 23684716.Finally, LCM of Fractions for 76/707, 451/577, 691/182 is 23684716.