Least Common Multiple of 49/390, 57/404, 691/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/390, 57/404, 691/107 quickly i.e. 1929963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/390, 57/404, 691/107 is 1929963.

LCM(49/390, 57/404, 691/107) = 1929963

LCM of 49/390, 57/404, 691/107

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 49/390,57/404,691/107

Given numbers are 49/390,57/404,691/107

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 49,57,691

Least Common Multiple of Numerators i.e. LCM of 49,57,691 is 1929963.

GCF of Denominators means GCF of 390,404,107 as per the given fractions.

GCF of 390,404,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,57,691

LCM of Fractions 49/390,57/404,691/107 is 1929963

Given numbers has no common factors except 1. So, there LCM is their product i.e 1929963

Least Common Multiple of 49,57,691 with GCF Formula

Least Common Multiple of 49,57,691 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 49,57,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,57,691) = 1

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

GCF(49,57,691) x common factors =1 x 1 = 1

LCM(49,57,691) = ( 49 × 57 × 691 ) / 1

LCM(49,57,691) = 1929963 / 1

LCM(49,57,691) = 1929963


Lets's calculate GCF of 390,404,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929963/1

Therefore the LCM of Fractions 49/390,57/404,691/107 is 1929963

Greatest Common Factor of 390,404,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,404,107 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 390,404,107 . The biggest common factor number is the GCF number.
So the greatest common factor 390,404,107 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 49/390, 57/404, 691/107

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 49/390, 57/404, 691/107?

Answer: LCM of Numerators as per given numbers 49/390, 57/404, 691/107 is

LCM of Numerators i.e. for 49,57,691 is 1929963

GCF of denominators i.e. for 390,404,107 is 1.

Thus, LCM of Fractions is 1929963.Finally, LCM of Fractions for 49/390, 57/404, 691/107 is 1929963.