Least Common Multiple of 30/734, 37/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 30/734, 37/873 quickly i.e. 1110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/734, 37/873 is 1110.

LCM(30/734, 37/873) = 1110

LCM of 30/734, 37/873

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 30/734,37/873

Given numbers are 30/734,37/873

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 30,37

Least Common Multiple of Numerators i.e. LCM of 30,37 is 1110.

GCF of Denominators means GCF of 734,873 as per the given fractions.

GCF of 734,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,37

LCM of Fractions 30/734,37/873 is 1110

Given numbers has no common factors except 1. So, there LCM is their product i.e 1110

Least Common Multiple of 30,37 with GCF Formula

Least Common Multiple of 30,37 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 30,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,37) = 1

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

GCF(30,37) x common factors =1 x 1 = 1

LCM(30,37) = ( 30 × 37 ) / 1

LCM(30,37) = 1110 / 1

LCM(30,37) = 1110


Lets's calculate GCF of 734,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1110/1

Therefore the LCM of Fractions 30/734,37/873 is 1110

Greatest Common Factor of 734,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,873 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 734,873 . The biggest common factor number is the GCF number.
So the greatest common factor 734,873 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 30/734, 37/873

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 30/734, 37/873?

Answer: LCM of Numerators as per given numbers 30/734, 37/873 is

LCM of Numerators i.e. for 30,37 is 1110

GCF of denominators i.e. for 734,873 is 1.

Thus, LCM of Fractions is 1110.Finally, LCM of Fractions for 30/734, 37/873 is 1110.