Least Common Multiple of 78/736, 353/568, 440/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/736, 353/568, 440/413 quickly i.e. 6057480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/736, 353/568, 440/413 is 6057480.

LCM(78/736, 353/568, 440/413) = 6057480

LCM of 78/736, 353/568, 440/413

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 78/736,353/568,440/413

Given numbers are 78/736,353/568,440/413

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 78,353,440

Least Common Multiple of Numerators i.e. LCM of 78,353,440 is 6057480.

GCF of Denominators means GCF of 736,568,413 as per the given fractions.

GCF of 736,568,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,353,440

LCM of Fractions 78/736,353/568,440/413 is 6057480

2 78, 353, 440
39, 353, 220

∴ So the LCM of the given numbers is 2 x 39 x 353 x 220 = 6057480

Least Common Multiple of 78,353,440 with GCF Formula

Least Common Multiple of 78,353,440 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 78,353,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,353,440) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,353,440) x common factors =1 x 2 = 2

LCM(78,353,440) = ( 78 × 353 × 440 ) / 2

LCM(78,353,440) = 12114960 / 2

LCM(78,353,440) = 6057480


Lets's calculate GCF of 736,568,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6057480/1

Therefore the LCM of Fractions 78/736,353/568,440/413 is 6057480

Greatest Common Factor of 736,568,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,568,413 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 736,568,413 . The biggest common factor number is the GCF number.
So the greatest common factor 736,568,413 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 78/736, 353/568, 440/413

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 78/736, 353/568, 440/413?

Answer: LCM of Numerators as per given numbers 78/736, 353/568, 440/413 is

LCM of Numerators i.e. for 78,353,440 is 6057480

GCF of denominators i.e. for 736,568,413 is 1.

Thus, LCM of Fractions is 6057480.Finally, LCM of Fractions for 78/736, 353/568, 440/413 is 6057480.