Least Common Multiple of 94/746, 31/459, 278/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/746, 31/459, 278/728 quickly i.e. 405046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/746, 31/459, 278/728 is 405046.

LCM(94/746, 31/459, 278/728) = 405046

LCM of 94/746, 31/459, 278/728

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 94/746,31/459,278/728

Given numbers are 94/746,31/459,278/728

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 94,31,278

Least Common Multiple of Numerators i.e. LCM of 94,31,278 is 405046.

GCF of Denominators means GCF of 746,459,728 as per the given fractions.

GCF of 746,459,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,31,278

LCM of Fractions 94/746,31/459,278/728 is 405046

2 94, 31, 278
47, 31, 139

∴ So the LCM of the given numbers is 2 x 47 x 31 x 139 = 405046

Least Common Multiple of 94,31,278 with GCF Formula

Least Common Multiple of 94,31,278 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 94,31,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,31,278) = 1

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

GCF(94,31,278) x common factors =1 x 2 = 2

LCM(94,31,278) = ( 94 × 31 × 278 ) / 2

LCM(94,31,278) = 810092 / 2

LCM(94,31,278) = 405046


Lets's calculate GCF of 746,459,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405046/1

Therefore the LCM of Fractions 94/746,31/459,278/728 is 405046

Greatest Common Factor of 746,459,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,459,728 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 746,459,728 . The biggest common factor number is the GCF number.
So the greatest common factor 746,459,728 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 94/746, 31/459, 278/728

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 94/746, 31/459, 278/728?

Answer: LCM of Numerators as per given numbers 94/746, 31/459, 278/728 is

LCM of Numerators i.e. for 94,31,278 is 405046

GCF of denominators i.e. for 746,459,728 is 1.

Thus, LCM of Fractions is 405046.Finally, LCM of Fractions for 94/746, 31/459, 278/728 is 405046.