Least Common Multiple of 13/94, 30/49, 807/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/94, 30/49, 807/164 quickly i.e. 104910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/94, 30/49, 807/164 is 104910.

LCM(13/94, 30/49, 807/164) = 104910

LCM of 13/94, 30/49, 807/164

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 13/94,30/49,807/164

Given numbers are 13/94,30/49,807/164

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 13,30,807

Least Common Multiple of Numerators i.e. LCM of 13,30,807 is 104910.

GCF of Denominators means GCF of 94,49,164 as per the given fractions.

GCF of 94,49,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,30,807

LCM of Fractions 13/94,30/49,807/164 is 104910

3 13, 30, 807
13, 10, 269

∴ So the LCM of the given numbers is 3 x 13 x 10 x 269 = 104910

Least Common Multiple of 13,30,807 with GCF Formula

Least Common Multiple of 13,30,807 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 13,30,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,30,807) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,30,807) x common factors =1 x 3 = 3

LCM(13,30,807) = ( 13 × 30 × 807 ) / 3

LCM(13,30,807) = 314730 / 3

LCM(13,30,807) = 104910


Lets's calculate GCF of 94,49,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104910/1

Therefore the LCM of Fractions 13/94,30/49,807/164 is 104910

Greatest Common Factor of 94,49,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,49,164 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 49

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

1,7,49

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 94,49,164 . The biggest common factor number is the GCF number.
So the greatest common factor 94,49,164 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 13/94, 30/49, 807/164

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 13/94, 30/49, 807/164?

Answer: LCM of Numerators as per given numbers 13/94, 30/49, 807/164 is

LCM of Numerators i.e. for 13,30,807 is 104910

GCF of denominators i.e. for 94,49,164 is 1.

Thus, LCM of Fractions is 104910.Finally, LCM of Fractions for 13/94, 30/49, 807/164 is 104910.