Least Common Multiple of 55/13, 502/81, 946/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/13, 502/81, 946/725 quickly i.e. 1187230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/13, 502/81, 946/725 is 1187230.

LCM(55/13, 502/81, 946/725) = 1187230

LCM of 55/13, 502/81, 946/725

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 55/13,502/81,946/725

Given numbers are 55/13,502/81,946/725

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 55,502,946

Least Common Multiple of Numerators i.e. LCM of 55,502,946 is 1187230.

GCF of Denominators means GCF of 13,81,725 as per the given fractions.

GCF of 13,81,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,502,946

LCM of Fractions 55/13,502/81,946/725 is 1187230

2 55, 502, 946
11 55, 251, 473
5, 251, 43

∴ So the LCM of the given numbers is 2 x 11 x 5 x 251 x 43 = 1187230

Least Common Multiple of 55,502,946 with GCF Formula

Least Common Multiple of 55,502,946 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 55,502,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,502,946) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(55,502,946) x common factors =1 x 22 = 22

LCM(55,502,946) = ( 55 × 502 × 946 ) / 22

LCM(55,502,946) = 26119060 / 22

LCM(55,502,946) = 1187230


Lets's calculate GCF of 13,81,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1187230/1

Therefore the LCM of Fractions 55/13,502/81,946/725 is 1187230

Greatest Common Factor of 13,81,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,81,725 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 13,81,725 . The biggest common factor number is the GCF number.
So the greatest common factor 13,81,725 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/13, 502/81, 946/725

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 55/13, 502/81, 946/725?

Answer: LCM of Numerators as per given numbers 55/13, 502/81, 946/725 is

LCM of Numerators i.e. for 55,502,946 is 1187230

GCF of denominators i.e. for 13,81,725 is 1.

Thus, LCM of Fractions is 1187230.Finally, LCM of Fractions for 55/13, 502/81, 946/725 is 1187230.