Least Common Multiple of 7111/894, 2174/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7111/894, 2174/153 quickly i.e. 15459314/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7111/894, 2174/153 is 15459314/3.

LCM(7111/894, 2174/153) = 15459314/3

LCM of 7111/894, 2174/153

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 7111/894,2174/153

Given numbers are 7111/894,2174/153

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 7111,2174

Least Common Multiple of Numerators i.e. LCM of 7111,2174 is 15459314.

GCF of Denominators means GCF of 894,153 as per the given fractions.

GCF of 894,153 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7111,2174

LCM of Fractions 7111/894,2174/153 is 15459314/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 15459314

Least Common Multiple of 7111,2174 with GCF Formula

Least Common Multiple of 7111,2174 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 7111,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7111,2174) = 1

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

GCF(7111,2174) x common factors =1 x 1 = 1

LCM(7111,2174) = ( 7111 × 2174 ) / 1

LCM(7111,2174) = 15459314 / 1

LCM(7111,2174) = 15459314


Lets's calculate GCF of 894,153

3 894, 153
298, 51

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15459314/3

Therefore the LCM of Fractions 7111/894,2174/153 is 15459314/3

Greatest Common Factor of 894,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,153 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 894,153 . The biggest common factor number is the GCF number.
So the greatest common factor 894,153 is 3.


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 7111/894, 2174/153

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 7111/894, 2174/153?

Answer: LCM of Numerators as per given numbers 7111/894, 2174/153 is

LCM of Numerators i.e. for 7111,2174 is 15459314

GCF of denominators i.e. for 894,153 is 3.

Thus, LCM of Fractions is 15459314/3.Finally, LCM of Fractions for 7111/894, 2174/153 is 15459314/3.