Least Common Multiple of 910/696, 7702/6844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/696, 7702/6844 quickly i.e. 3504410/116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/696, 7702/6844 is 3504410/116.

LCM(910/696, 7702/6844) = 3504410/116

LCM of 910/696, 7702/6844

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 910/696,7702/6844

Given numbers are 910/696,7702/6844

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 910,7702

Least Common Multiple of Numerators i.e. LCM of 910,7702 is 3504410.

GCF of Denominators means GCF of 696,6844 as per the given fractions.

GCF of 696,6844 is 116 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,7702

LCM of Fractions 910/696,7702/6844 is 3504410/116

2 910, 7702
455, 3851

∴ So the LCM of the given numbers is 2 x 455 x 3851 = 3504410

Least Common Multiple of 910,7702 with GCF Formula

Least Common Multiple of 910,7702 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 910,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,7702) = 2

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

GCF(910,7702) x common factors =2 x 1 = 2

LCM(910,7702) = ( 910 × 7702 ) / 2

LCM(910,7702) = 7008820 / 2

LCM(910,7702) = 3504410


Lets's calculate GCF of 696,6844

2 696, 6844
2 348, 3422
29 174, 1711
6, 59

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3504410/116

Therefore the LCM of Fractions 910/696,7702/6844 is 3504410/116

Greatest Common Factor of 696,6844 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,6844 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1,2,4,29,58,59,116,118,236,1711,3422,6844

Greatest Common Factor

We found the factors 696,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 696,6844 is 116.


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 910/696, 7702/6844

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 910/696, 7702/6844?

Answer: LCM of Numerators as per given numbers 910/696, 7702/6844 is

LCM of Numerators i.e. for 910,7702 is 3504410

GCF of denominators i.e. for 696,6844 is 116.

Thus, LCM of Fractions is 3504410/116.Finally, LCM of Fractions for 910/696, 7702/6844 is 3504410/116.