Least Common Multiple of 70/277, 52/532, 747/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/277, 52/532, 747/327 quickly i.e. 1359540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/277, 52/532, 747/327 is 1359540.

LCM(70/277, 52/532, 747/327) = 1359540

LCM of 70/277, 52/532, 747/327

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 70/277,52/532,747/327

Given numbers are 70/277,52/532,747/327

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 70,52,747

Least Common Multiple of Numerators i.e. LCM of 70,52,747 is 1359540.

GCF of Denominators means GCF of 277,532,327 as per the given fractions.

GCF of 277,532,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,52,747

LCM of Fractions 70/277,52/532,747/327 is 1359540

2 70, 52, 747
35, 26, 747

∴ So the LCM of the given numbers is 2 x 35 x 26 x 747 = 1359540

Least Common Multiple of 70,52,747 with GCF Formula

Least Common Multiple of 70,52,747 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 70,52,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,52,747) = 1

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

GCF(70,52,747) x common factors =1 x 2 = 2

LCM(70,52,747) = ( 70 × 52 × 747 ) / 2

LCM(70,52,747) = 2719080 / 2

LCM(70,52,747) = 1359540


Lets's calculate GCF of 277,532,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1359540/1

Therefore the LCM of Fractions 70/277,52/532,747/327 is 1359540

Greatest Common Factor of 277,532,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,532,327 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 277,532,327 . The biggest common factor number is the GCF number.
So the greatest common factor 277,532,327 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 70/277, 52/532, 747/327

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 70/277, 52/532, 747/327?

Answer: LCM of Numerators as per given numbers 70/277, 52/532, 747/327 is

LCM of Numerators i.e. for 70,52,747 is 1359540

GCF of denominators i.e. for 277,532,327 is 1.

Thus, LCM of Fractions is 1359540.Finally, LCM of Fractions for 70/277, 52/532, 747/327 is 1359540.