Least Common Multiple of 93/182, 876/398, 746/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/182, 876/398, 746/945 quickly i.e. 10129188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/182, 876/398, 746/945 is 10129188.

LCM(93/182, 876/398, 746/945) = 10129188

LCM of 93/182, 876/398, 746/945

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 93/182,876/398,746/945

Given numbers are 93/182,876/398,746/945

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 93,876,746

Least Common Multiple of Numerators i.e. LCM of 93,876,746 is 10129188.

GCF of Denominators means GCF of 182,398,945 as per the given fractions.

GCF of 182,398,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,876,746

LCM of Fractions 93/182,876/398,746/945 is 10129188

2 93, 876, 746
3 93, 438, 373
31, 146, 373

∴ So the LCM of the given numbers is 2 x 3 x 31 x 146 x 373 = 10129188

Least Common Multiple of 93,876,746 with GCF Formula

Least Common Multiple of 93,876,746 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 93,876,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,876,746) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,876,746) x common factors =1 x 6 = 6

LCM(93,876,746) = ( 93 × 876 × 746 ) / 6

LCM(93,876,746) = 60775128 / 6

LCM(93,876,746) = 10129188


Lets's calculate GCF of 182,398,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10129188/1

Therefore the LCM of Fractions 93/182,876/398,746/945 is 10129188

Greatest Common Factor of 182,398,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,398,945 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 182,398,945 . The biggest common factor number is the GCF number.
So the greatest common factor 182,398,945 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 93/182, 876/398, 746/945

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 93/182, 876/398, 746/945?

Answer: LCM of Numerators as per given numbers 93/182, 876/398, 746/945 is

LCM of Numerators i.e. for 93,876,746 is 10129188

GCF of denominators i.e. for 182,398,945 is 1.

Thus, LCM of Fractions is 10129188.Finally, LCM of Fractions for 93/182, 876/398, 746/945 is 10129188.