Least Common Multiple of 837/31, 697/7404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 837/31, 697/7404 quickly i.e. 583389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/31, 697/7404 is 583389.

LCM(837/31, 697/7404) = 583389

LCM of 837/31, 697/7404

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 837/31,697/7404

Given numbers are 837/31,697/7404

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 837,697

Least Common Multiple of Numerators i.e. LCM of 837,697 is 583389.

GCF of Denominators means GCF of 31,7404 as per the given fractions.

GCF of 31,7404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,697

LCM of Fractions 837/31,697/7404 is 583389

Given numbers has no common factors except 1. So, there LCM is their product i.e 583389

Least Common Multiple of 837,697 with GCF Formula

Least Common Multiple of 837,697 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 837,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,697) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(837,697) x common factors =1 x 1 = 1

LCM(837,697) = ( 837 × 697 ) / 1

LCM(837,697) = 583389 / 1

LCM(837,697) = 583389


Lets's calculate GCF of 31,7404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583389/1

Therefore the LCM of Fractions 837/31,697/7404 is 583389

Greatest Common Factor of 31,7404 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,7404 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Greatest Common Factor

We found the factors 31,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 31,7404 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 837/31, 697/7404

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 837/31, 697/7404?

Answer: LCM of Numerators as per given numbers 837/31, 697/7404 is

LCM of Numerators i.e. for 837,697 is 583389

GCF of denominators i.e. for 31,7404 is 1.

Thus, LCM of Fractions is 583389.Finally, LCM of Fractions for 837/31, 697/7404 is 583389.