Least Common Multiple of 3311/754, 2694/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3311/754, 2694/348 quickly i.e. 8919834/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3311/754, 2694/348 is 8919834/58.

LCM(3311/754, 2694/348) = 8919834/58

LCM of 3311/754, 2694/348

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 3311/754,2694/348

Given numbers are 3311/754,2694/348

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 3311,2694

Least Common Multiple of Numerators i.e. LCM of 3311,2694 is 8919834.

GCF of Denominators means GCF of 754,348 as per the given fractions.

GCF of 754,348 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3311,2694

LCM of Fractions 3311/754,2694/348 is 8919834/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 8919834

Least Common Multiple of 3311,2694 with GCF Formula

Least Common Multiple of 3311,2694 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 3311,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3311,2694) = 1

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

GCF(3311,2694) x common factors =1 x 1 = 1

LCM(3311,2694) = ( 3311 × 2694 ) / 1

LCM(3311,2694) = 8919834 / 1

LCM(3311,2694) = 8919834


Lets's calculate GCF of 754,348

2 754, 348
29 377, 174
13, 6

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8919834/58

Therefore the LCM of Fractions 3311/754,2694/348 is 8919834/58

Greatest Common Factor of 754,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,348 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 754,348 . The biggest common factor number is the GCF number.
So the greatest common factor 754,348 is 58.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3311/754, 2694/348

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 3311/754, 2694/348?

Answer: LCM of Numerators as per given numbers 3311/754, 2694/348 is

LCM of Numerators i.e. for 3311,2694 is 8919834

GCF of denominators i.e. for 754,348 is 58.

Thus, LCM of Fractions is 8919834/58.Finally, LCM of Fractions for 3311/754, 2694/348 is 8919834/58.