Least Common Multiple of 708/683, 7876/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/683, 7876/676 quickly i.e. 1394052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/683, 7876/676 is 1394052.

LCM(708/683, 7876/676) = 1394052

LCM of 708/683, 7876/676

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 708/683,7876/676

Given numbers are 708/683,7876/676

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 708,7876

Least Common Multiple of Numerators i.e. LCM of 708,7876 is 1394052.

GCF of Denominators means GCF of 683,676 as per the given fractions.

GCF of 683,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,7876

LCM of Fractions 708/683,7876/676 is 1394052

2 708, 7876
2 354, 3938
177, 1969

∴ So the LCM of the given numbers is 2 x 2 x 177 x 1969 = 1394052

Least Common Multiple of 708,7876 with GCF Formula

Least Common Multiple of 708,7876 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 708,7876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,7876) = 4

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

GCF(708,7876) x common factors =4 x 1 = 4

LCM(708,7876) = ( 708 × 7876 ) / 4

LCM(708,7876) = 5576208 / 4

LCM(708,7876) = 1394052


Lets's calculate GCF of 683,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394052/1

Therefore the LCM of Fractions 708/683,7876/676 is 1394052

Greatest Common Factor of 683,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,676 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 683,676 . The biggest common factor number is the GCF number.
So the greatest common factor 683,676 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 708/683, 7876/676

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 708/683, 7876/676?

Answer: LCM of Numerators as per given numbers 708/683, 7876/676 is

LCM of Numerators i.e. for 708,7876 is 1394052

GCF of denominators i.e. for 683,676 is 1.

Thus, LCM of Fractions is 1394052.Finally, LCM of Fractions for 708/683, 7876/676 is 1394052.