Least Common Multiple of 697/61, 252/37, 542/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 697/61, 252/37, 542/694 quickly i.e. 47599524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/61, 252/37, 542/694 is 47599524.

LCM(697/61, 252/37, 542/694) = 47599524

LCM of 697/61, 252/37, 542/694

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 697/61,252/37,542/694

Given numbers are 697/61,252/37,542/694

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 697,252,542

Least Common Multiple of Numerators i.e. LCM of 697,252,542 is 47599524.

GCF of Denominators means GCF of 61,37,694 as per the given fractions.

GCF of 61,37,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,252,542

LCM of Fractions 697/61,252/37,542/694 is 47599524

2 697, 252, 542
697, 126, 271

∴ So the LCM of the given numbers is 2 x 697 x 126 x 271 = 47599524

Least Common Multiple of 697,252,542 with GCF Formula

Least Common Multiple of 697,252,542 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 697,252,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,252,542) = 1

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

GCF(697,252,542) x common factors =1 x 2 = 2

LCM(697,252,542) = ( 697 × 252 × 542 ) / 2

LCM(697,252,542) = 95199048 / 2

LCM(697,252,542) = 47599524


Lets's calculate GCF of 61,37,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47599524/1

Therefore the LCM of Fractions 697/61,252/37,542/694 is 47599524

Greatest Common Factor of 61,37,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,37,694 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 61,37,694 . The biggest common factor number is the GCF number.
So the greatest common factor 61,37,694 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 697/61, 252/37, 542/694

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 697/61, 252/37, 542/694?

Answer: LCM of Numerators as per given numbers 697/61, 252/37, 542/694 is

LCM of Numerators i.e. for 697,252,542 is 47599524

GCF of denominators i.e. for 61,37,694 is 1.

Thus, LCM of Fractions is 47599524.Finally, LCM of Fractions for 697/61, 252/37, 542/694 is 47599524.