Least Common Multiple of 115/798, 149/467, 275/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/798, 149/467, 275/897 quickly i.e. 942425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/798, 149/467, 275/897 is 942425.

LCM(115/798, 149/467, 275/897) = 942425

LCM of 115/798, 149/467, 275/897

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 115/798,149/467,275/897

Given numbers are 115/798,149/467,275/897

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 115,149,275

Least Common Multiple of Numerators i.e. LCM of 115,149,275 is 942425.

GCF of Denominators means GCF of 798,467,897 as per the given fractions.

GCF of 798,467,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,149,275

LCM of Fractions 115/798,149/467,275/897 is 942425

5 115, 149, 275
23, 149, 55

∴ So the LCM of the given numbers is 5 x 23 x 149 x 55 = 942425

Least Common Multiple of 115,149,275 with GCF Formula

Least Common Multiple of 115,149,275 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 115,149,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,149,275) = 1

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

GCF(115,149,275) x common factors =1 x 5 = 5

LCM(115,149,275) = ( 115 × 149 × 275 ) / 5

LCM(115,149,275) = 4712125 / 5

LCM(115,149,275) = 942425


Lets's calculate GCF of 798,467,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942425/1

Therefore the LCM of Fractions 115/798,149/467,275/897 is 942425

Greatest Common Factor of 798,467,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,467,897 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 798,467,897 . The biggest common factor number is the GCF number.
So the greatest common factor 798,467,897 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 115/798, 149/467, 275/897

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 115/798, 149/467, 275/897?

Answer: LCM of Numerators as per given numbers 115/798, 149/467, 275/897 is

LCM of Numerators i.e. for 115,149,275 is 942425

GCF of denominators i.e. for 798,467,897 is 1.

Thus, LCM of Fractions is 942425.Finally, LCM of Fractions for 115/798, 149/467, 275/897 is 942425.