Least Common Multiple of 85/373, 747/440, 655/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/373, 747/440, 655/678 quickly i.e. 8317845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/373, 747/440, 655/678 is 8317845.

LCM(85/373, 747/440, 655/678) = 8317845

LCM of 85/373, 747/440, 655/678

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 85/373,747/440,655/678

Given numbers are 85/373,747/440,655/678

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 85,747,655

Least Common Multiple of Numerators i.e. LCM of 85,747,655 is 8317845.

GCF of Denominators means GCF of 373,440,678 as per the given fractions.

GCF of 373,440,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,747,655

LCM of Fractions 85/373,747/440,655/678 is 8317845

5 85, 747, 655
17, 747, 131

∴ So the LCM of the given numbers is 5 x 17 x 747 x 131 = 8317845

Least Common Multiple of 85,747,655 with GCF Formula

Least Common Multiple of 85,747,655 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 85,747,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,747,655) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,747,655) x common factors =1 x 5 = 5

LCM(85,747,655) = ( 85 × 747 × 655 ) / 5

LCM(85,747,655) = 41589225 / 5

LCM(85,747,655) = 8317845


Lets's calculate GCF of 373,440,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8317845/1

Therefore the LCM of Fractions 85/373,747/440,655/678 is 8317845

Greatest Common Factor of 373,440,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,440,678 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 373,440,678 . The biggest common factor number is the GCF number.
So the greatest common factor 373,440,678 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 85/373, 747/440, 655/678

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 85/373, 747/440, 655/678?

Answer: LCM of Numerators as per given numbers 85/373, 747/440, 655/678 is

LCM of Numerators i.e. for 85,747,655 is 8317845

GCF of denominators i.e. for 373,440,678 is 1.

Thus, LCM of Fractions is 8317845.Finally, LCM of Fractions for 85/373, 747/440, 655/678 is 8317845.