Least Common Multiple of 77/696, 9680/8149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/696, 9680/8149 quickly i.e. 67760/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/696, 9680/8149 is 67760/29.

LCM(77/696, 9680/8149) = 67760/29

LCM of 77/696, 9680/8149

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 77/696,9680/8149

Given numbers are 77/696,9680/8149

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 77,9680

Least Common Multiple of Numerators i.e. LCM of 77,9680 is 67760.

GCF of Denominators means GCF of 696,8149 as per the given fractions.

GCF of 696,8149 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,9680

LCM of Fractions 77/696,9680/8149 is 67760/29

11 77, 9680
7, 880

∴ So the LCM of the given numbers is 11 x 7 x 880 = 67760

Least Common Multiple of 77,9680 with GCF Formula

Least Common Multiple of 77,9680 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 77,9680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,9680) = 11

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

GCF(77,9680) x common factors =11 x 1 = 11

LCM(77,9680) = ( 77 × 9680 ) / 11

LCM(77,9680) = 745360 / 11

LCM(77,9680) = 67760


Lets's calculate GCF of 696,8149

29 696, 8149
24, 281

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67760/29

Therefore the LCM of Fractions 77/696,9680/8149 is 67760/29

Greatest Common Factor of 696,8149 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,8149 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 8149

List of positive integer factors of 8149 that divides 8149 without a remainder.

1,29,281,8149

Greatest Common Factor

We found the factors 696,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 696,8149 is 29.


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 77/696, 9680/8149

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 77/696, 9680/8149?

Answer: LCM of Numerators as per given numbers 77/696, 9680/8149 is

LCM of Numerators i.e. for 77,9680 is 67760

GCF of denominators i.e. for 696,8149 is 29.

Thus, LCM of Fractions is 67760/29.Finally, LCM of Fractions for 77/696, 9680/8149 is 67760/29.