Least Common Multiple of 11/742, 1969/5117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/742, 1969/5117 quickly i.e. 1969/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/742, 1969/5117 is 1969/7.

LCM(11/742, 1969/5117) = 1969/7

LCM of 11/742, 1969/5117

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 11/742,1969/5117

Given numbers are 11/742,1969/5117

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 11,1969

Least Common Multiple of Numerators i.e. LCM of 11,1969 is 1969.

GCF of Denominators means GCF of 742,5117 as per the given fractions.

GCF of 742,5117 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,1969

LCM of Fractions 11/742,1969/5117 is 1969/7

11 11, 1969
1, 179

∴ So the LCM of the given numbers is 11 x 1 x 179 = 1969

Least Common Multiple of 11,1969 with GCF Formula

Least Common Multiple of 11,1969 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 11,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,1969) = 11

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

GCF(11,1969) x common factors =11 x 1 = 11

LCM(11,1969) = ( 11 × 1969 ) / 11

LCM(11,1969) = 21659 / 11

LCM(11,1969) = 1969


Lets's calculate GCF of 742,5117

7 742, 5117
106, 731

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1969/7

Therefore the LCM of Fractions 11/742,1969/5117 is 1969/7

Greatest Common Factor of 742,5117 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,5117 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Greatest Common Factor

We found the factors 742,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 742,5117 is 7.


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 11/742, 1969/5117

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 11/742, 1969/5117?

Answer: LCM of Numerators as per given numbers 11/742, 1969/5117 is

LCM of Numerators i.e. for 11,1969 is 1969

GCF of denominators i.e. for 742,5117 is 7.

Thus, LCM of Fractions is 1969/7.Finally, LCM of Fractions for 11/742, 1969/5117 is 1969/7.