Least Common Multiple of 19/36, 59/926, 902/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/36, 59/926, 902/349 quickly i.e. 1011142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/36, 59/926, 902/349 is 1011142.

LCM(19/36, 59/926, 902/349) = 1011142

LCM of 19/36, 59/926, 902/349

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 19/36,59/926,902/349

Given numbers are 19/36,59/926,902/349

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 19,59,902

Least Common Multiple of Numerators i.e. LCM of 19,59,902 is 1011142.

GCF of Denominators means GCF of 36,926,349 as per the given fractions.

GCF of 36,926,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,59,902

LCM of Fractions 19/36,59/926,902/349 is 1011142

Given numbers has no common factors except 1. So, there LCM is their product i.e 1011142

Least Common Multiple of 19,59,902 with GCF Formula

Least Common Multiple of 19,59,902 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 19,59,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,59,902) = 1

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

GCF(19,59,902) x common factors =1 x 1 = 1

LCM(19,59,902) = ( 19 × 59 × 902 ) / 1

LCM(19,59,902) = 1011142 / 1

LCM(19,59,902) = 1011142


Lets's calculate GCF of 36,926,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1011142/1

Therefore the LCM of Fractions 19/36,59/926,902/349 is 1011142

Greatest Common Factor of 36,926,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,926,349 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 349

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

1,349

Greatest Common Factor

We found the factors 36,926,349 . The biggest common factor number is the GCF number.
So the greatest common factor 36,926,349 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/36, 59/926, 902/349

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 19/36, 59/926, 902/349?

Answer: LCM of Numerators as per given numbers 19/36, 59/926, 902/349 is

LCM of Numerators i.e. for 19,59,902 is 1011142

GCF of denominators i.e. for 36,926,349 is 1.

Thus, LCM of Fractions is 1011142.Finally, LCM of Fractions for 19/36, 59/926, 902/349 is 1011142.