Least Common Multiple of 78/711, 25/921, 703/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/711, 25/921, 703/459 quickly i.e. 456950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/711, 25/921, 703/459 is 456950.

LCM(78/711, 25/921, 703/459) = 456950

LCM of 78/711, 25/921, 703/459

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 78/711,25/921,703/459

Given numbers are 78/711,25/921,703/459

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 78,25,703

Least Common Multiple of Numerators i.e. LCM of 78,25,703 is 1370850.

GCF of Denominators means GCF of 711,921,459 as per the given fractions.

GCF of 711,921,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,25,703

LCM of Fractions 78/711,25/921,703/459 is 456950

Given numbers has no common factors except 1. So, there LCM is their product i.e 1370850

Least Common Multiple of 78,25,703 with GCF Formula

Least Common Multiple of 78,25,703 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 78,25,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,25,703) = 1

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

GCF(78,25,703) x common factors =1 x 1 = 1

LCM(78,25,703) = ( 78 × 25 × 703 ) / 1

LCM(78,25,703) = 1370850 / 1

LCM(78,25,703) = 1370850


Lets's calculate GCF of 711,921,459

3 711, 921, 459
237, 307, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1370850/3

Therefore the LCM of Fractions 78/711,25/921,703/459 is 456950

Greatest Common Factor of 711,921,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,921,459 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 711,921,459 . The biggest common factor number is the GCF number.
So the greatest common factor 711,921,459 is 3.


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 78/711, 25/921, 703/459

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 78/711, 25/921, 703/459?

Answer: LCM of Numerators as per given numbers 78/711, 25/921, 703/459 is

LCM of Numerators i.e. for 78,25,703 is 1370850

GCF of denominators i.e. for 711,921,459 is 3.

Thus, LCM of Fractions is 456950.Finally, LCM of Fractions for 78/711, 25/921, 703/459 is 456950.