Least Common Multiple of 78/626, 119/760, 458/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/626, 119/760, 458/848 quickly i.e. 1062789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/626, 119/760, 458/848 is 1062789.

LCM(78/626, 119/760, 458/848) = 1062789

LCM of 78/626, 119/760, 458/848

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 78/626,119/760,458/848

Given numbers are 78/626,119/760,458/848

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 78,119,458

Least Common Multiple of Numerators i.e. LCM of 78,119,458 is 2125578.

GCF of Denominators means GCF of 626,760,848 as per the given fractions.

GCF of 626,760,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,119,458

LCM of Fractions 78/626,119/760,458/848 is 1062789

2 78, 119, 458
39, 119, 229

∴ So the LCM of the given numbers is 2 x 39 x 119 x 229 = 2125578

Least Common Multiple of 78,119,458 with GCF Formula

Least Common Multiple of 78,119,458 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 78,119,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,119,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,119,458) x common factors =1 x 2 = 2

LCM(78,119,458) = ( 78 × 119 × 458 ) / 2

LCM(78,119,458) = 4251156 / 2

LCM(78,119,458) = 2125578


Lets's calculate GCF of 626,760,848

2 626, 760, 848
313, 380, 424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2125578/2

Therefore the LCM of Fractions 78/626,119/760,458/848 is 1062789

Greatest Common Factor of 626,760,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,760,848 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 626,760,848 . The biggest common factor number is the GCF number.
So the greatest common factor 626,760,848 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 78/626, 119/760, 458/848

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 78/626, 119/760, 458/848?

Answer: LCM of Numerators as per given numbers 78/626, 119/760, 458/848 is

LCM of Numerators i.e. for 78,119,458 is 2125578

GCF of denominators i.e. for 626,760,848 is 2.

Thus, LCM of Fractions is 1062789.Finally, LCM of Fractions for 78/626, 119/760, 458/848 is 1062789.