Least Common Multiple of 19/767, 11/349, 746/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/767, 11/349, 746/116 quickly i.e. 155914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/767, 11/349, 746/116 is 155914.

LCM(19/767, 11/349, 746/116) = 155914

LCM of 19/767, 11/349, 746/116

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 19/767,11/349,746/116

Given numbers are 19/767,11/349,746/116

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 19,11,746

Least Common Multiple of Numerators i.e. LCM of 19,11,746 is 155914.

GCF of Denominators means GCF of 767,349,116 as per the given fractions.

GCF of 767,349,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,11,746

LCM of Fractions 19/767,11/349,746/116 is 155914

Given numbers has no common factors except 1. So, there LCM is their product i.e 155914

Least Common Multiple of 19,11,746 with GCF Formula

Least Common Multiple of 19,11,746 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 19,11,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,11,746) = 1

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

GCF(19,11,746) x common factors =1 x 1 = 1

LCM(19,11,746) = ( 19 × 11 × 746 ) / 1

LCM(19,11,746) = 155914 / 1

LCM(19,11,746) = 155914


Lets's calculate GCF of 767,349,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155914/1

Therefore the LCM of Fractions 19/767,11/349,746/116 is 155914

Greatest Common Factor of 767,349,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,349,116 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 767,349,116 . The biggest common factor number is the GCF number.
So the greatest common factor 767,349,116 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 19/767, 11/349, 746/116

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 19/767, 11/349, 746/116?

Answer: LCM of Numerators as per given numbers 19/767, 11/349, 746/116 is

LCM of Numerators i.e. for 19,11,746 is 155914

GCF of denominators i.e. for 767,349,116 is 1.

Thus, LCM of Fractions is 155914.Finally, LCM of Fractions for 19/767, 11/349, 746/116 is 155914.