Least Common Multiple of 395/174, 335/919, 531/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/174, 335/919, 531/891 quickly i.e. 14052915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/174, 335/919, 531/891 is 14052915.

LCM(395/174, 335/919, 531/891) = 14052915

LCM of 395/174, 335/919, 531/891

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 395/174,335/919,531/891

Given numbers are 395/174,335/919,531/891

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 395,335,531

Least Common Multiple of Numerators i.e. LCM of 395,335,531 is 14052915.

GCF of Denominators means GCF of 174,919,891 as per the given fractions.

GCF of 174,919,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,335,531

LCM of Fractions 395/174,335/919,531/891 is 14052915

5 395, 335, 531
79, 67, 531

∴ So the LCM of the given numbers is 5 x 79 x 67 x 531 = 14052915

Least Common Multiple of 395,335,531 with GCF Formula

Least Common Multiple of 395,335,531 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 395,335,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,335,531) = 1

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

GCF(395,335,531) x common factors =1 x 5 = 5

LCM(395,335,531) = ( 395 × 335 × 531 ) / 5

LCM(395,335,531) = 70264575 / 5

LCM(395,335,531) = 14052915


Lets's calculate GCF of 174,919,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14052915/1

Therefore the LCM of Fractions 395/174,335/919,531/891 is 14052915

Greatest Common Factor of 174,919,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,919,891 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 174,919,891 . The biggest common factor number is the GCF number.
So the greatest common factor 174,919,891 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 395/174, 335/919, 531/891

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 395/174, 335/919, 531/891?

Answer: LCM of Numerators as per given numbers 395/174, 335/919, 531/891 is

LCM of Numerators i.e. for 395,335,531 is 14052915

GCF of denominators i.e. for 174,919,891 is 1.

Thus, LCM of Fractions is 14052915.Finally, LCM of Fractions for 395/174, 335/919, 531/891 is 14052915.