Least Common Multiple of 681/55, 712/40, 952/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/55, 712/40, 952/329 quickly i.e. 57699768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/55, 712/40, 952/329 is 57699768.

LCM(681/55, 712/40, 952/329) = 57699768

LCM of 681/55, 712/40, 952/329

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 681/55,712/40,952/329

Given numbers are 681/55,712/40,952/329

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 681,712,952

Least Common Multiple of Numerators i.e. LCM of 681,712,952 is 57699768.

GCF of Denominators means GCF of 55,40,329 as per the given fractions.

GCF of 55,40,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,712,952

LCM of Fractions 681/55,712/40,952/329 is 57699768

2 681, 712, 952
2 681, 356, 476
2 681, 178, 238
681, 89, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 681 x 89 x 119 = 57699768

Least Common Multiple of 681,712,952 with GCF Formula

Least Common Multiple of 681,712,952 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 681,712,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,712,952) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(681,712,952) x common factors =1 x 8 = 8

LCM(681,712,952) = ( 681 × 712 × 952 ) / 8

LCM(681,712,952) = 461598144 / 8

LCM(681,712,952) = 57699768


Lets's calculate GCF of 55,40,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57699768/1

Therefore the LCM of Fractions 681/55,712/40,952/329 is 57699768

Greatest Common Factor of 55,40,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,40,329 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 55,40,329 . The biggest common factor number is the GCF number.
So the greatest common factor 55,40,329 is 1.


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 681/55, 712/40, 952/329

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 681/55, 712/40, 952/329?

Answer: LCM of Numerators as per given numbers 681/55, 712/40, 952/329 is

LCM of Numerators i.e. for 681,712,952 is 57699768

GCF of denominators i.e. for 55,40,329 is 1.

Thus, LCM of Fractions is 57699768.Finally, LCM of Fractions for 681/55, 712/40, 952/329 is 57699768.