Least Common Multiple of 755/944, 6748/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 755/944, 6748/598 quickly i.e. 2547370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/944, 6748/598 is 2547370.

LCM(755/944, 6748/598) = 2547370

LCM of 755/944, 6748/598

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 755/944,6748/598

Given numbers are 755/944,6748/598

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 755,6748

Least Common Multiple of Numerators i.e. LCM of 755,6748 is 5094740.

GCF of Denominators means GCF of 944,598 as per the given fractions.

GCF of 944,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,6748

LCM of Fractions 755/944,6748/598 is 2547370

Given numbers has no common factors except 1. So, there LCM is their product i.e 5094740

Least Common Multiple of 755,6748 with GCF Formula

Least Common Multiple of 755,6748 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 755,6748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,6748) = 1

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

GCF(755,6748) x common factors =1 x 1 = 1

LCM(755,6748) = ( 755 × 6748 ) / 1

LCM(755,6748) = 5094740 / 1

LCM(755,6748) = 5094740


Lets's calculate GCF of 944,598

2 944, 598
472, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5094740/2

Therefore the LCM of Fractions 755/944,6748/598 is 2547370

Greatest Common Factor of 944,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,598 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 944,598 . The biggest common factor number is the GCF number.
So the greatest common factor 944,598 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 755/944, 6748/598

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 755/944, 6748/598?

Answer: LCM of Numerators as per given numbers 755/944, 6748/598 is

LCM of Numerators i.e. for 755,6748 is 5094740

GCF of denominators i.e. for 944,598 is 2.

Thus, LCM of Fractions is 2547370.Finally, LCM of Fractions for 755/944, 6748/598 is 2547370.