Least Common Multiple of 366/49, 746/8417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/49, 746/8417 quickly i.e. 136518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/49, 746/8417 is 136518.

LCM(366/49, 746/8417) = 136518

LCM of 366/49, 746/8417

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 366/49,746/8417

Given numbers are 366/49,746/8417

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 366,746

Least Common Multiple of Numerators i.e. LCM of 366,746 is 136518.

GCF of Denominators means GCF of 49,8417 as per the given fractions.

GCF of 49,8417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,746

LCM of Fractions 366/49,746/8417 is 136518

2 366, 746
183, 373

∴ So the LCM of the given numbers is 2 x 183 x 373 = 136518

Least Common Multiple of 366,746 with GCF Formula

Least Common Multiple of 366,746 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 366,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,746) = 2

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

GCF(366,746) x common factors =2 x 1 = 2

LCM(366,746) = ( 366 × 746 ) / 2

LCM(366,746) = 273036 / 2

LCM(366,746) = 136518


Lets's calculate GCF of 49,8417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136518/1

Therefore the LCM of Fractions 366/49,746/8417 is 136518

Greatest Common Factor of 49,8417 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,8417 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Greatest Common Factor

We found the factors 49,8417 . The biggest common factor number is the GCF number.
So the greatest common factor 49,8417 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 366/49, 746/8417

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 366/49, 746/8417?

Answer: LCM of Numerators as per given numbers 366/49, 746/8417 is

LCM of Numerators i.e. for 366,746 is 136518

GCF of denominators i.e. for 49,8417 is 1.

Thus, LCM of Fractions is 136518.Finally, LCM of Fractions for 366/49, 746/8417 is 136518.