Least Common Multiple of 7696/684, 1106/7202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7696/684, 1106/7202 quickly i.e. 2127944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7696/684, 1106/7202 is 2127944.

LCM(7696/684, 1106/7202) = 2127944

LCM of 7696/684, 1106/7202

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 7696/684,1106/7202

Given numbers are 7696/684,1106/7202

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 7696,1106

Least Common Multiple of Numerators i.e. LCM of 7696,1106 is 4255888.

GCF of Denominators means GCF of 684,7202 as per the given fractions.

GCF of 684,7202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7696,1106

LCM of Fractions 7696/684,1106/7202 is 2127944

2 7696, 1106
3848, 553

∴ So the LCM of the given numbers is 2 x 3848 x 553 = 4255888

Least Common Multiple of 7696,1106 with GCF Formula

Least Common Multiple of 7696,1106 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 7696,1106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7696,1106) = 2

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

GCF(7696,1106) x common factors =2 x 1 = 2

LCM(7696,1106) = ( 7696 × 1106 ) / 2

LCM(7696,1106) = 8511776 / 2

LCM(7696,1106) = 4255888


Lets's calculate GCF of 684,7202

2 684, 7202
342, 3601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4255888/2

Therefore the LCM of Fractions 7696/684,1106/7202 is 2127944

Greatest Common Factor of 684,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,7202 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 684,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 684,7202 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 7696/684, 1106/7202

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 7696/684, 1106/7202?

Answer: LCM of Numerators as per given numbers 7696/684, 1106/7202 is

LCM of Numerators i.e. for 7696,1106 is 4255888

GCF of denominators i.e. for 684,7202 is 2.

Thus, LCM of Fractions is 2127944.Finally, LCM of Fractions for 7696/684, 1106/7202 is 2127944.