Least Common Multiple of 3520/744, 2265/5598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3520/744, 2265/5598 quickly i.e. 265760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3520/744, 2265/5598 is 265760.

LCM(3520/744, 2265/5598) = 265760

LCM of 3520/744, 2265/5598

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 3520/744,2265/5598

Given numbers are 3520/744,2265/5598

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 3520,2265

Least Common Multiple of Numerators i.e. LCM of 3520,2265 is 1594560.

GCF of Denominators means GCF of 744,5598 as per the given fractions.

GCF of 744,5598 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3520,2265

LCM of Fractions 3520/744,2265/5598 is 265760

5 3520, 2265
704, 453

∴ So the LCM of the given numbers is 5 x 704 x 453 = 1594560

Least Common Multiple of 3520,2265 with GCF Formula

Least Common Multiple of 3520,2265 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 3520,2265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3520,2265) = 5

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

GCF(3520,2265) x common factors =5 x 1 = 5

LCM(3520,2265) = ( 3520 × 2265 ) / 5

LCM(3520,2265) = 7972800 / 5

LCM(3520,2265) = 1594560


Lets's calculate GCF of 744,5598

2 744, 5598
3 372, 2799
124, 933

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594560/6

Therefore the LCM of Fractions 3520/744,2265/5598 is 265760

Greatest Common Factor of 744,5598 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,5598 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 5598

List of positive integer factors of 5598 that divides 5598 without a remainder.

1,2,3,6,9,18,311,622,933,1866,2799,5598

Greatest Common Factor

We found the factors 744,5598 . The biggest common factor number is the GCF number.
So the greatest common factor 744,5598 is 6.


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 3520/744, 2265/5598

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 3520/744, 2265/5598?

Answer: LCM of Numerators as per given numbers 3520/744, 2265/5598 is

LCM of Numerators i.e. for 3520,2265 is 1594560

GCF of denominators i.e. for 744,5598 is 6.

Thus, LCM of Fractions is 265760.Finally, LCM of Fractions for 3520/744, 2265/5598 is 265760.