Least Common Multiple of 11/480, 91/760, 644/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/480, 91/760, 644/245 quickly i.e. 92092/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/480, 91/760, 644/245 is 92092/5.

LCM(11/480, 91/760, 644/245) = 92092/5

LCM of 11/480, 91/760, 644/245

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 11/480,91/760,644/245

Given numbers are 11/480,91/760,644/245

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 11,91,644

Least Common Multiple of Numerators i.e. LCM of 11,91,644 is 92092.

GCF of Denominators means GCF of 480,760,245 as per the given fractions.

GCF of 480,760,245 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,91,644

LCM of Fractions 11/480,91/760,644/245 is 92092/5

7 11, 91, 644
11, 13, 92

∴ So the LCM of the given numbers is 7 x 11 x 13 x 92 = 92092

Least Common Multiple of 11,91,644 with GCF Formula

Least Common Multiple of 11,91,644 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 11,91,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,91,644) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(11,91,644) x common factors =1 x 7 = 7

LCM(11,91,644) = ( 11 × 91 × 644 ) / 7

LCM(11,91,644) = 644644 / 7

LCM(11,91,644) = 92092


Lets's calculate GCF of 480,760,245

5 480, 760, 245
96, 152, 49

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92092/5

Therefore the LCM of Fractions 11/480,91/760,644/245 is 92092/5

Greatest Common Factor of 480,760,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,760,245 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 480,760,245 . The biggest common factor number is the GCF number.
So the greatest common factor 480,760,245 is 5.


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 11/480, 91/760, 644/245

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 11/480, 91/760, 644/245?

Answer: LCM of Numerators as per given numbers 11/480, 91/760, 644/245 is

LCM of Numerators i.e. for 11,91,644 is 92092

GCF of denominators i.e. for 480,760,245 is 5.

Thus, LCM of Fractions is 92092/5.Finally, LCM of Fractions for 11/480, 91/760, 644/245 is 92092/5.