Least Common Multiple of 759/325, 3549/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 759/325, 3549/907 quickly i.e. 897897 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/325, 3549/907 is 897897.

LCM(759/325, 3549/907) = 897897

LCM of 759/325, 3549/907

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 759/325,3549/907

Given numbers are 759/325,3549/907

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 759,3549

Least Common Multiple of Numerators i.e. LCM of 759,3549 is 897897.

GCF of Denominators means GCF of 325,907 as per the given fractions.

GCF of 325,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,3549

LCM of Fractions 759/325,3549/907 is 897897

3 759, 3549
253, 1183

∴ So the LCM of the given numbers is 3 x 253 x 1183 = 897897

Least Common Multiple of 759,3549 with GCF Formula

Least Common Multiple of 759,3549 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 759,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,3549) = 3

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

GCF(759,3549) x common factors =3 x 1 = 3

LCM(759,3549) = ( 759 × 3549 ) / 3

LCM(759,3549) = 2693691 / 3

LCM(759,3549) = 897897


Lets's calculate GCF of 325,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897897/1

Therefore the LCM of Fractions 759/325,3549/907 is 897897

Greatest Common Factor of 325,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,907 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 325,907 . The biggest common factor number is the GCF number.
So the greatest common factor 325,907 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 759/325, 3549/907

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 759/325, 3549/907?

Answer: LCM of Numerators as per given numbers 759/325, 3549/907 is

LCM of Numerators i.e. for 759,3549 is 897897

GCF of denominators i.e. for 325,907 is 1.

Thus, LCM of Fractions is 897897.Finally, LCM of Fractions for 759/325, 3549/907 is 897897.