Least Common Multiple of 969/891, 1768/7461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/891, 1768/7461 quickly i.e. 100776/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/891, 1768/7461 is 100776/9.

LCM(969/891, 1768/7461) = 100776/9

LCM of 969/891, 1768/7461

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 969/891,1768/7461

Given numbers are 969/891,1768/7461

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 969,1768

Least Common Multiple of Numerators i.e. LCM of 969,1768 is 100776.

GCF of Denominators means GCF of 891,7461 as per the given fractions.

GCF of 891,7461 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,1768

LCM of Fractions 969/891,1768/7461 is 100776/9

17 969, 1768
57, 104

∴ So the LCM of the given numbers is 17 x 57 x 104 = 100776

Least Common Multiple of 969,1768 with GCF Formula

Least Common Multiple of 969,1768 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 969,1768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,1768) = 17

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

GCF(969,1768) x common factors =17 x 1 = 17

LCM(969,1768) = ( 969 × 1768 ) / 17

LCM(969,1768) = 1713192 / 17

LCM(969,1768) = 100776


Lets's calculate GCF of 891,7461

3 891, 7461
3 297, 2487
99, 829

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100776/9

Therefore the LCM of Fractions 969/891,1768/7461 is 100776/9

Greatest Common Factor of 891,7461 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,7461 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 7461

List of positive integer factors of 7461 that divides 7461 without a remainder.

1,3,9,829,2487,7461

Greatest Common Factor

We found the factors 891,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 891,7461 is 9.


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 969/891, 1768/7461

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 969/891, 1768/7461?

Answer: LCM of Numerators as per given numbers 969/891, 1768/7461 is

LCM of Numerators i.e. for 969,1768 is 100776

GCF of denominators i.e. for 891,7461 is 9.

Thus, LCM of Fractions is 100776/9.Finally, LCM of Fractions for 969/891, 1768/7461 is 100776/9.