Least Common Multiple of 749/846, 361/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/846, 361/558 quickly i.e. 270389/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/846, 361/558 is 270389/18.

LCM(749/846, 361/558) = 270389/18

LCM of 749/846, 361/558

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 749/846,361/558

Given numbers are 749/846,361/558

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 749,361

Least Common Multiple of Numerators i.e. LCM of 749,361 is 270389.

GCF of Denominators means GCF of 846,558 as per the given fractions.

GCF of 846,558 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,361

LCM of Fractions 749/846,361/558 is 270389/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 270389

Least Common Multiple of 749,361 with GCF Formula

Least Common Multiple of 749,361 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 749,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,361) = 1

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

GCF(749,361) x common factors =1 x 1 = 1

LCM(749,361) = ( 749 × 361 ) / 1

LCM(749,361) = 270389 / 1

LCM(749,361) = 270389


Lets's calculate GCF of 846,558

2 846, 558
3 423, 279
3 141, 93
47, 31

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270389/18

Therefore the LCM of Fractions 749/846,361/558 is 270389/18

Greatest Common Factor of 846,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,558 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 846,558 . The biggest common factor number is the GCF number.
So the greatest common factor 846,558 is 18.


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 749/846, 361/558

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 749/846, 361/558?

Answer: LCM of Numerators as per given numbers 749/846, 361/558 is

LCM of Numerators i.e. for 749,361 is 270389

GCF of denominators i.e. for 846,558 is 18.

Thus, LCM of Fractions is 270389/18.Finally, LCM of Fractions for 749/846, 361/558 is 270389/18.