Least Common Multiple of 688/94, 314/7366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/94, 314/7366 quickly i.e. 54008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/94, 314/7366 is 54008.

LCM(688/94, 314/7366) = 54008

LCM of 688/94, 314/7366

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 688/94,314/7366

Given numbers are 688/94,314/7366

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 688,314

Least Common Multiple of Numerators i.e. LCM of 688,314 is 108016.

GCF of Denominators means GCF of 94,7366 as per the given fractions.

GCF of 94,7366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,314

LCM of Fractions 688/94,314/7366 is 54008

2 688, 314
344, 157

∴ So the LCM of the given numbers is 2 x 344 x 157 = 108016

Least Common Multiple of 688,314 with GCF Formula

Least Common Multiple of 688,314 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 688,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,314) = 2

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

GCF(688,314) x common factors =2 x 1 = 2

LCM(688,314) = ( 688 × 314 ) / 2

LCM(688,314) = 216032 / 2

LCM(688,314) = 108016


Lets's calculate GCF of 94,7366

2 94, 7366
47, 3683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108016/2

Therefore the LCM of Fractions 688/94,314/7366 is 54008

Greatest Common Factor of 94,7366 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,7366 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1,2,29,58,127,254,3683,7366

Greatest Common Factor

We found the factors 94,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 94,7366 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 688/94, 314/7366

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 688/94, 314/7366?

Answer: LCM of Numerators as per given numbers 688/94, 314/7366 is

LCM of Numerators i.e. for 688,314 is 108016

GCF of denominators i.e. for 94,7366 is 2.

Thus, LCM of Fractions is 54008.Finally, LCM of Fractions for 688/94, 314/7366 is 54008.