Least Common Multiple of 57/281, 46/790, 414/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/281, 46/790, 414/750 quickly i.e. 7866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/281, 46/790, 414/750 is 7866.

LCM(57/281, 46/790, 414/750) = 7866

LCM of 57/281, 46/790, 414/750

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 57/281,46/790,414/750

Given numbers are 57/281,46/790,414/750

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 57,46,414

Least Common Multiple of Numerators i.e. LCM of 57,46,414 is 7866.

GCF of Denominators means GCF of 281,790,750 as per the given fractions.

GCF of 281,790,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,46,414

LCM of Fractions 57/281,46/790,414/750 is 7866

2 57, 46, 414
3 57, 23, 207
23 19, 23, 69
19, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 23 x 19 x 1 x 3 = 7866

Least Common Multiple of 57,46,414 with GCF Formula

Least Common Multiple of 57,46,414 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 57,46,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,46,414) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(57,46,414) x common factors =1 x 138 = 138

LCM(57,46,414) = ( 57 × 46 × 414 ) / 138

LCM(57,46,414) = 1085508 / 138

LCM(57,46,414) = 7866


Lets's calculate GCF of 281,790,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7866/1

Therefore the LCM of Fractions 57/281,46/790,414/750 is 7866

Greatest Common Factor of 281,790,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,790,750 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 281,790,750 . The biggest common factor number is the GCF number.
So the greatest common factor 281,790,750 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 57/281, 46/790, 414/750

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 57/281, 46/790, 414/750?

Answer: LCM of Numerators as per given numbers 57/281, 46/790, 414/750 is

LCM of Numerators i.e. for 57,46,414 is 7866

GCF of denominators i.e. for 281,790,750 is 1.

Thus, LCM of Fractions is 7866.Finally, LCM of Fractions for 57/281, 46/790, 414/750 is 7866.