Least Common Multiple of 797/375, 1474/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 797/375, 1474/586 quickly i.e. 1174778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 797/375, 1474/586 is 1174778.

LCM(797/375, 1474/586) = 1174778

LCM of 797/375, 1474/586

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 797/375,1474/586

Given numbers are 797/375,1474/586

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 797,1474

Least Common Multiple of Numerators i.e. LCM of 797,1474 is 1174778.

GCF of Denominators means GCF of 375,586 as per the given fractions.

GCF of 375,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 797,1474

LCM of Fractions 797/375,1474/586 is 1174778

Given numbers has no common factors except 1. So, there LCM is their product i.e 1174778

Least Common Multiple of 797,1474 with GCF Formula

Least Common Multiple of 797,1474 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 797,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,1474) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(797,1474) x common factors =1 x 1 = 1

LCM(797,1474) = ( 797 × 1474 ) / 1

LCM(797,1474) = 1174778 / 1

LCM(797,1474) = 1174778


Lets's calculate GCF of 375,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1174778/1

Therefore the LCM of Fractions 797/375,1474/586 is 1174778

Greatest Common Factor of 375,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,586 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 375,586 . The biggest common factor number is the GCF number.
So the greatest common factor 375,586 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 797/375, 1474/586

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 797/375, 1474/586?

Answer: LCM of Numerators as per given numbers 797/375, 1474/586 is

LCM of Numerators i.e. for 797,1474 is 1174778

GCF of denominators i.e. for 375,586 is 1.

Thus, LCM of Fractions is 1174778.Finally, LCM of Fractions for 797/375, 1474/586 is 1174778.