Least Common Multiple of 798/58, 893/94, 290/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/58, 893/94, 290/51 quickly i.e. 5438370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/58, 893/94, 290/51 is 5438370.

LCM(798/58, 893/94, 290/51) = 5438370

LCM of 798/58, 893/94, 290/51

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 798/58,893/94,290/51

Given numbers are 798/58,893/94,290/51

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 798,893,290

Least Common Multiple of Numerators i.e. LCM of 798,893,290 is 5438370.

GCF of Denominators means GCF of 58,94,51 as per the given fractions.

GCF of 58,94,51 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,893,290

LCM of Fractions 798/58,893/94,290/51 is 5438370

2 798, 893, 290
19 399, 893, 145
21, 47, 145

∴ So the LCM of the given numbers is 2 x 19 x 21 x 47 x 145 = 5438370

Least Common Multiple of 798,893,290 with GCF Formula

Least Common Multiple of 798,893,290 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 798,893,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,893,290) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(798,893,290) x common factors =1 x 38 = 38

LCM(798,893,290) = ( 798 × 893 × 290 ) / 38

LCM(798,893,290) = 206658060 / 38

LCM(798,893,290) = 5438370


Lets's calculate GCF of 58,94,51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5438370/1

Therefore the LCM of Fractions 798/58,893/94,290/51 is 5438370

Greatest Common Factor of 58,94,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,94,51 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 58,94,51 . The biggest common factor number is the GCF number.
So the greatest common factor 58,94,51 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 798/58, 893/94, 290/51

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 798/58, 893/94, 290/51?

Answer: LCM of Numerators as per given numbers 798/58, 893/94, 290/51 is

LCM of Numerators i.e. for 798,893,290 is 5438370

GCF of denominators i.e. for 58,94,51 is 1.

Thus, LCM of Fractions is 5438370.Finally, LCM of Fractions for 798/58, 893/94, 290/51 is 5438370.