Least Common Multiple of 52/746, 70/202, 591/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/746, 70/202, 591/727 quickly i.e. 1075620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/746, 70/202, 591/727 is 1075620.

LCM(52/746, 70/202, 591/727) = 1075620

LCM of 52/746, 70/202, 591/727

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 52/746,70/202,591/727

Given numbers are 52/746,70/202,591/727

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 52,70,591

Least Common Multiple of Numerators i.e. LCM of 52,70,591 is 1075620.

GCF of Denominators means GCF of 746,202,727 as per the given fractions.

GCF of 746,202,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,70,591

LCM of Fractions 52/746,70/202,591/727 is 1075620

2 52, 70, 591
26, 35, 591

∴ So the LCM of the given numbers is 2 x 26 x 35 x 591 = 1075620

Least Common Multiple of 52,70,591 with GCF Formula

Least Common Multiple of 52,70,591 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 52,70,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,70,591) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,70,591) x common factors =1 x 2 = 2

LCM(52,70,591) = ( 52 × 70 × 591 ) / 2

LCM(52,70,591) = 2151240 / 2

LCM(52,70,591) = 1075620


Lets's calculate GCF of 746,202,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075620/1

Therefore the LCM of Fractions 52/746,70/202,591/727 is 1075620

Greatest Common Factor of 746,202,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,202,727 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 746,202,727 . The biggest common factor number is the GCF number.
So the greatest common factor 746,202,727 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/746, 70/202, 591/727

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 52/746, 70/202, 591/727?

Answer: LCM of Numerators as per given numbers 52/746, 70/202, 591/727 is

LCM of Numerators i.e. for 52,70,591 is 1075620

GCF of denominators i.e. for 746,202,727 is 1.

Thus, LCM of Fractions is 1075620.Finally, LCM of Fractions for 52/746, 70/202, 591/727 is 1075620.