Least Common Multiple of 37/719, 17/992, 867/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/719, 17/992, 867/274 quickly i.e. 32079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/719, 17/992, 867/274 is 32079.

LCM(37/719, 17/992, 867/274) = 32079

LCM of 37/719, 17/992, 867/274

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 37/719,17/992,867/274

Given numbers are 37/719,17/992,867/274

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 37,17,867

Least Common Multiple of Numerators i.e. LCM of 37,17,867 is 32079.

GCF of Denominators means GCF of 719,992,274 as per the given fractions.

GCF of 719,992,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,17,867

LCM of Fractions 37/719,17/992,867/274 is 32079

17 37, 17, 867
37, 1, 51

∴ So the LCM of the given numbers is 17 x 37 x 1 x 51 = 32079

Least Common Multiple of 37,17,867 with GCF Formula

Least Common Multiple of 37,17,867 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 37,17,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,17,867) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(37,17,867) x common factors =1 x 17 = 17

LCM(37,17,867) = ( 37 × 17 × 867 ) / 17

LCM(37,17,867) = 545343 / 17

LCM(37,17,867) = 32079


Lets's calculate GCF of 719,992,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32079/1

Therefore the LCM of Fractions 37/719,17/992,867/274 is 32079

Greatest Common Factor of 719,992,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,992,274 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 719,992,274 . The biggest common factor number is the GCF number.
So the greatest common factor 719,992,274 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 37/719, 17/992, 867/274

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 37/719, 17/992, 867/274?

Answer: LCM of Numerators as per given numbers 37/719, 17/992, 867/274 is

LCM of Numerators i.e. for 37,17,867 is 32079

GCF of denominators i.e. for 719,992,274 is 1.

Thus, LCM of Fractions is 32079.Finally, LCM of Fractions for 37/719, 17/992, 867/274 is 32079.