Least Common Multiple of 232/724, 376/443, 314/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/724, 376/443, 314/164 quickly i.e. 1711928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/724, 376/443, 314/164 is 1711928.

LCM(232/724, 376/443, 314/164) = 1711928

LCM of 232/724, 376/443, 314/164

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 232/724,376/443,314/164

Given numbers are 232/724,376/443,314/164

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 232,376,314

Least Common Multiple of Numerators i.e. LCM of 232,376,314 is 1711928.

GCF of Denominators means GCF of 724,443,164 as per the given fractions.

GCF of 724,443,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,376,314

LCM of Fractions 232/724,376/443,314/164 is 1711928

2 232, 376, 314
2 116, 188, 157
2 58, 94, 157
29, 47, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 47 x 157 = 1711928

Least Common Multiple of 232,376,314 with GCF Formula

Least Common Multiple of 232,376,314 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 232,376,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,376,314) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(232,376,314) x common factors =2 x 8 = 16

LCM(232,376,314) = ( 232 × 376 × 314 ) / 16

LCM(232,376,314) = 27390848 / 16

LCM(232,376,314) = 1711928


Lets's calculate GCF of 724,443,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711928/1

Therefore the LCM of Fractions 232/724,376/443,314/164 is 1711928

Greatest Common Factor of 724,443,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,443,164 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 724,443,164 . The biggest common factor number is the GCF number.
So the greatest common factor 724,443,164 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 232/724, 376/443, 314/164

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 232/724, 376/443, 314/164?

Answer: LCM of Numerators as per given numbers 232/724, 376/443, 314/164 is

LCM of Numerators i.e. for 232,376,314 is 1711928

GCF of denominators i.e. for 724,443,164 is 1.

Thus, LCM of Fractions is 1711928.Finally, LCM of Fractions for 232/724, 376/443, 314/164 is 1711928.