Least Common Multiple of 670/438, 4376/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/438, 4376/724 quickly i.e. 732980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/438, 4376/724 is 732980.

LCM(670/438, 4376/724) = 732980

LCM of 670/438, 4376/724

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 670/438,4376/724

Given numbers are 670/438,4376/724

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 670,4376

Least Common Multiple of Numerators i.e. LCM of 670,4376 is 1465960.

GCF of Denominators means GCF of 438,724 as per the given fractions.

GCF of 438,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,4376

LCM of Fractions 670/438,4376/724 is 732980

2 670, 4376
335, 2188

∴ So the LCM of the given numbers is 2 x 335 x 2188 = 1465960

Least Common Multiple of 670,4376 with GCF Formula

Least Common Multiple of 670,4376 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 670,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,4376) = 2

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

GCF(670,4376) x common factors =2 x 1 = 2

LCM(670,4376) = ( 670 × 4376 ) / 2

LCM(670,4376) = 2931920 / 2

LCM(670,4376) = 1465960


Lets's calculate GCF of 438,724

2 438, 724
219, 362

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1465960/2

Therefore the LCM of Fractions 670/438,4376/724 is 732980

Greatest Common Factor of 438,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,724 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 724

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

1,2,4,181,362,724

Greatest Common Factor

We found the factors 438,724 . The biggest common factor number is the GCF number.
So the greatest common factor 438,724 is 2.


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 670/438, 4376/724

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 670/438, 4376/724?

Answer: LCM of Numerators as per given numbers 670/438, 4376/724 is

LCM of Numerators i.e. for 670,4376 is 1465960

GCF of denominators i.e. for 438,724 is 2.

Thus, LCM of Fractions is 732980.Finally, LCM of Fractions for 670/438, 4376/724 is 732980.