Least Common Multiple of 7174/735, 2273/6956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7174/735, 2273/6956 quickly i.e. 16306502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7174/735, 2273/6956 is 16306502.

LCM(7174/735, 2273/6956) = 16306502

LCM of 7174/735, 2273/6956

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 7174/735,2273/6956

Given numbers are 7174/735,2273/6956

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 7174,2273

Least Common Multiple of Numerators i.e. LCM of 7174,2273 is 16306502.

GCF of Denominators means GCF of 735,6956 as per the given fractions.

GCF of 735,6956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7174,2273

LCM of Fractions 7174/735,2273/6956 is 16306502

Given numbers has no common factors except 1. So, there LCM is their product i.e 16306502

Least Common Multiple of 7174,2273 with GCF Formula

Least Common Multiple of 7174,2273 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 7174,2273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7174,2273) = 1

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

GCF(7174,2273) x common factors =1 x 1 = 1

LCM(7174,2273) = ( 7174 × 2273 ) / 1

LCM(7174,2273) = 16306502 / 1

LCM(7174,2273) = 16306502


Lets's calculate GCF of 735,6956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16306502/1

Therefore the LCM of Fractions 7174/735,2273/6956 is 16306502

Greatest Common Factor of 735,6956 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,6956 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1,2,4,37,47,74,94,148,188,1739,3478,6956

Greatest Common Factor

We found the factors 735,6956 . The biggest common factor number is the GCF number.
So the greatest common factor 735,6956 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 7174/735, 2273/6956

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 7174/735, 2273/6956?

Answer: LCM of Numerators as per given numbers 7174/735, 2273/6956 is

LCM of Numerators i.e. for 7174,2273 is 16306502

GCF of denominators i.e. for 735,6956 is 1.

Thus, LCM of Fractions is 16306502.Finally, LCM of Fractions for 7174/735, 2273/6956 is 16306502.