Least Common Multiple of 678/403, 740/272, 958/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/403, 740/272, 958/783 quickly i.e. 120161940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/403, 740/272, 958/783 is 120161940.

LCM(678/403, 740/272, 958/783) = 120161940

LCM of 678/403, 740/272, 958/783

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 678/403,740/272,958/783

Given numbers are 678/403,740/272,958/783

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 678,740,958

Least Common Multiple of Numerators i.e. LCM of 678,740,958 is 120161940.

GCF of Denominators means GCF of 403,272,783 as per the given fractions.

GCF of 403,272,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,740,958

LCM of Fractions 678/403,740/272,958/783 is 120161940

2 678, 740, 958
339, 370, 479

∴ So the LCM of the given numbers is 2 x 339 x 370 x 479 = 120161940

Least Common Multiple of 678,740,958 with GCF Formula

Least Common Multiple of 678,740,958 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 678,740,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,740,958) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(678,740,958) x common factors =2 x 2 = 4

LCM(678,740,958) = ( 678 × 740 × 958 ) / 4

LCM(678,740,958) = 480647760 / 4

LCM(678,740,958) = 120161940


Lets's calculate GCF of 403,272,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120161940/1

Therefore the LCM of Fractions 678/403,740/272,958/783 is 120161940

Greatest Common Factor of 403,272,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,272,783 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 403,272,783 . The biggest common factor number is the GCF number.
So the greatest common factor 403,272,783 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 678/403, 740/272, 958/783

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 678/403, 740/272, 958/783?

Answer: LCM of Numerators as per given numbers 678/403, 740/272, 958/783 is

LCM of Numerators i.e. for 678,740,958 is 120161940

GCF of denominators i.e. for 403,272,783 is 1.

Thus, LCM of Fractions is 120161940.Finally, LCM of Fractions for 678/403, 740/272, 958/783 is 120161940.