Least Common Multiple of 11/69, 77/96, 849/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/69, 77/96, 849/925 quickly i.e. 65373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/69, 77/96, 849/925 is 65373.

LCM(11/69, 77/96, 849/925) = 65373

LCM of 11/69, 77/96, 849/925

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 11/69,77/96,849/925

Given numbers are 11/69,77/96,849/925

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 11,77,849

Least Common Multiple of Numerators i.e. LCM of 11,77,849 is 65373.

GCF of Denominators means GCF of 69,96,925 as per the given fractions.

GCF of 69,96,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,77,849

LCM of Fractions 11/69,77/96,849/925 is 65373

11 11, 77, 849
1, 7, 849

∴ So the LCM of the given numbers is 11 x 1 x 7 x 849 = 65373

Least Common Multiple of 11,77,849 with GCF Formula

Least Common Multiple of 11,77,849 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 11,77,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,77,849) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,77,849) x common factors =1 x 11 = 11

LCM(11,77,849) = ( 11 × 77 × 849 ) / 11

LCM(11,77,849) = 719103 / 11

LCM(11,77,849) = 65373


Lets's calculate GCF of 69,96,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65373/1

Therefore the LCM of Fractions 11/69,77/96,849/925 is 65373

Greatest Common Factor of 69,96,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,96,925 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 69,96,925 . The biggest common factor number is the GCF number.
So the greatest common factor 69,96,925 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/69, 77/96, 849/925

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 11/69, 77/96, 849/925?

Answer: LCM of Numerators as per given numbers 11/69, 77/96, 849/925 is

LCM of Numerators i.e. for 11,77,849 is 65373

GCF of denominators i.e. for 69,96,925 is 1.

Thus, LCM of Fractions is 65373.Finally, LCM of Fractions for 11/69, 77/96, 849/925 is 65373.