Least Common Multiple of 919/432, 725/810, 905/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/432, 725/810, 905/347 quickly i.e. 120595775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/432, 725/810, 905/347 is 120595775.

LCM(919/432, 725/810, 905/347) = 120595775

LCM of 919/432, 725/810, 905/347

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 919/432,725/810,905/347

Given numbers are 919/432,725/810,905/347

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 919,725,905

Least Common Multiple of Numerators i.e. LCM of 919,725,905 is 120595775.

GCF of Denominators means GCF of 432,810,347 as per the given fractions.

GCF of 432,810,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,725,905

LCM of Fractions 919/432,725/810,905/347 is 120595775

5 919, 725, 905
919, 145, 181

∴ So the LCM of the given numbers is 5 x 919 x 145 x 181 = 120595775

Least Common Multiple of 919,725,905 with GCF Formula

Least Common Multiple of 919,725,905 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 919,725,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,725,905) = 1

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

GCF(919,725,905) x common factors =1 x 5 = 5

LCM(919,725,905) = ( 919 × 725 × 905 ) / 5

LCM(919,725,905) = 602978875 / 5

LCM(919,725,905) = 120595775


Lets's calculate GCF of 432,810,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120595775/1

Therefore the LCM of Fractions 919/432,725/810,905/347 is 120595775

Greatest Common Factor of 432,810,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,810,347 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 432,810,347 . The biggest common factor number is the GCF number.
So the greatest common factor 432,810,347 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 919/432, 725/810, 905/347

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 919/432, 725/810, 905/347?

Answer: LCM of Numerators as per given numbers 919/432, 725/810, 905/347 is

LCM of Numerators i.e. for 919,725,905 is 120595775

GCF of denominators i.e. for 432,810,347 is 1.

Thus, LCM of Fractions is 120595775.Finally, LCM of Fractions for 919/432, 725/810, 905/347 is 120595775.