Least Common Multiple of 9314/918, 1931/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9314/918, 1931/681 quickly i.e. 17985334/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9314/918, 1931/681 is 17985334/3.

LCM(9314/918, 1931/681) = 17985334/3

LCM of 9314/918, 1931/681

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 9314/918,1931/681

Given numbers are 9314/918,1931/681

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 9314,1931

Least Common Multiple of Numerators i.e. LCM of 9314,1931 is 17985334.

GCF of Denominators means GCF of 918,681 as per the given fractions.

GCF of 918,681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9314,1931

LCM of Fractions 9314/918,1931/681 is 17985334/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 17985334

Least Common Multiple of 9314,1931 with GCF Formula

Least Common Multiple of 9314,1931 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 9314,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9314,1931) = 1

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

GCF(9314,1931) x common factors =1 x 1 = 1

LCM(9314,1931) = ( 9314 × 1931 ) / 1

LCM(9314,1931) = 17985334 / 1

LCM(9314,1931) = 17985334


Lets's calculate GCF of 918,681

3 918, 681
306, 227

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17985334/3

Therefore the LCM of Fractions 9314/918,1931/681 is 17985334/3

Greatest Common Factor of 918,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,681 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 918,681 . The biggest common factor number is the GCF number.
So the greatest common factor 918,681 is 3.


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 9314/918, 1931/681

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 9314/918, 1931/681?

Answer: LCM of Numerators as per given numbers 9314/918, 1931/681 is

LCM of Numerators i.e. for 9314,1931 is 17985334

GCF of denominators i.e. for 918,681 is 3.

Thus, LCM of Fractions is 17985334/3.Finally, LCM of Fractions for 9314/918, 1931/681 is 17985334/3.