Least Common Multiple of 55/52, 473/58, 605/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/52, 473/58, 605/112 quickly i.e. 26015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/52, 473/58, 605/112 is 26015/2.

LCM(55/52, 473/58, 605/112) = 26015/2

LCM of 55/52, 473/58, 605/112

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 55/52,473/58,605/112

Given numbers are 55/52,473/58,605/112

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 55,473,605

Least Common Multiple of Numerators i.e. LCM of 55,473,605 is 26015.

GCF of Denominators means GCF of 52,58,112 as per the given fractions.

GCF of 52,58,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,473,605

LCM of Fractions 55/52,473/58,605/112 is 26015/2

5 55, 473, 605
11 11, 473, 121
1, 43, 11

∴ So the LCM of the given numbers is 5 x 11 x 1 x 43 x 11 = 26015

Least Common Multiple of 55,473,605 with GCF Formula

Least Common Multiple of 55,473,605 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 55,473,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,473,605) = 11

common factors(in case of two or more numbers have common factors) = 55

GCF(55,473,605) x common factors =11 x 55 = 605

LCM(55,473,605) = ( 55 × 473 × 605 ) / 605

LCM(55,473,605) = 15739075 / 605

LCM(55,473,605) = 26015


Lets's calculate GCF of 52,58,112

2 52, 58, 112
26, 29, 56

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26015/2

Therefore the LCM of Fractions 55/52,473/58,605/112 is 26015/2

Greatest Common Factor of 52,58,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,58,112 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 52,58,112 . The biggest common factor number is the GCF number.
So the greatest common factor 52,58,112 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/52, 473/58, 605/112

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 55/52, 473/58, 605/112?

Answer: LCM of Numerators as per given numbers 55/52, 473/58, 605/112 is

LCM of Numerators i.e. for 55,473,605 is 26015

GCF of denominators i.e. for 52,58,112 is 2.

Thus, LCM of Fractions is 26015/2.Finally, LCM of Fractions for 55/52, 473/58, 605/112 is 26015/2.