Least Common Multiple of 78/674, 281/444, 603/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/674, 281/444, 603/724 quickly i.e. 2202759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/674, 281/444, 603/724 is 2202759.

LCM(78/674, 281/444, 603/724) = 2202759

LCM of 78/674, 281/444, 603/724

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 78/674,281/444,603/724

Given numbers are 78/674,281/444,603/724

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 78,281,603

Least Common Multiple of Numerators i.e. LCM of 78,281,603 is 4405518.

GCF of Denominators means GCF of 674,444,724 as per the given fractions.

GCF of 674,444,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,281,603

LCM of Fractions 78/674,281/444,603/724 is 2202759

3 78, 281, 603
26, 281, 201

∴ So the LCM of the given numbers is 3 x 26 x 281 x 201 = 4405518

Least Common Multiple of 78,281,603 with GCF Formula

Least Common Multiple of 78,281,603 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 78,281,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,281,603) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,281,603) x common factors =1 x 3 = 3

LCM(78,281,603) = ( 78 × 281 × 603 ) / 3

LCM(78,281,603) = 13216554 / 3

LCM(78,281,603) = 4405518


Lets's calculate GCF of 674,444,724

2 674, 444, 724
337, 222, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4405518/2

Therefore the LCM of Fractions 78/674,281/444,603/724 is 2202759

Greatest Common Factor of 674,444,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,444,724 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

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 674,444,724 . The biggest common factor number is the GCF number.
So the greatest common factor 674,444,724 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 78/674, 281/444, 603/724

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 78/674, 281/444, 603/724?

Answer: LCM of Numerators as per given numbers 78/674, 281/444, 603/724 is

LCM of Numerators i.e. for 78,281,603 is 4405518

GCF of denominators i.e. for 674,444,724 is 2.

Thus, LCM of Fractions is 2202759.Finally, LCM of Fractions for 78/674, 281/444, 603/724 is 2202759.