Least Common Multiple of 743/37, 947/8114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/37, 947/8114 quickly i.e. 703621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/37, 947/8114 is 703621.

LCM(743/37, 947/8114) = 703621

LCM of 743/37, 947/8114

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 743/37,947/8114

Given numbers are 743/37,947/8114

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 743,947

Least Common Multiple of Numerators i.e. LCM of 743,947 is 703621.

GCF of Denominators means GCF of 37,8114 as per the given fractions.

GCF of 37,8114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,947

LCM of Fractions 743/37,947/8114 is 703621

Given numbers has no common factors except 1. So, there LCM is their product i.e 703621

Least Common Multiple of 743,947 with GCF Formula

Least Common Multiple of 743,947 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 743,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,947) = 1

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

GCF(743,947) x common factors =1 x 1 = 1

LCM(743,947) = ( 743 × 947 ) / 1

LCM(743,947) = 703621 / 1

LCM(743,947) = 703621


Lets's calculate GCF of 37,8114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 703621/1

Therefore the LCM of Fractions 743/37,947/8114 is 703621

Greatest Common Factor of 37,8114 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,8114 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1,2,4057,8114

Greatest Common Factor

We found the factors 37,8114 . The biggest common factor number is the GCF number.
So the greatest common factor 37,8114 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 743/37, 947/8114

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 743/37, 947/8114?

Answer: LCM of Numerators as per given numbers 743/37, 947/8114 is

LCM of Numerators i.e. for 743,947 is 703621

GCF of denominators i.e. for 37,8114 is 1.

Thus, LCM of Fractions is 703621.Finally, LCM of Fractions for 743/37, 947/8114 is 703621.