Least Common Multiple of 747/439, 7440/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 747/439, 7440/693 quickly i.e. 1852560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/439, 7440/693 is 1852560.

LCM(747/439, 7440/693) = 1852560

LCM of 747/439, 7440/693

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 747/439,7440/693

Given numbers are 747/439,7440/693

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 747,7440

Least Common Multiple of Numerators i.e. LCM of 747,7440 is 1852560.

GCF of Denominators means GCF of 439,693 as per the given fractions.

GCF of 439,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,7440

LCM of Fractions 747/439,7440/693 is 1852560

3 747, 7440
249, 2480

∴ So the LCM of the given numbers is 3 x 249 x 2480 = 1852560

Least Common Multiple of 747,7440 with GCF Formula

Least Common Multiple of 747,7440 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 747,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,7440) = 3

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

GCF(747,7440) x common factors =3 x 1 = 3

LCM(747,7440) = ( 747 × 7440 ) / 3

LCM(747,7440) = 5557680 / 3

LCM(747,7440) = 1852560


Lets's calculate GCF of 439,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1852560/1

Therefore the LCM of Fractions 747/439,7440/693 is 1852560

Greatest Common Factor of 439,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,693 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 439,693 . The biggest common factor number is the GCF number.
So the greatest common factor 439,693 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 747/439, 7440/693

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 747/439, 7440/693?

Answer: LCM of Numerators as per given numbers 747/439, 7440/693 is

LCM of Numerators i.e. for 747,7440 is 1852560

GCF of denominators i.e. for 439,693 is 1.

Thus, LCM of Fractions is 1852560.Finally, LCM of Fractions for 747/439, 7440/693 is 1852560.