Least Common Multiple of 4686/942, 7864/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4686/942, 7864/554 quickly i.e. 9212676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4686/942, 7864/554 is 9212676.

LCM(4686/942, 7864/554) = 9212676

LCM of 4686/942, 7864/554

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 4686/942,7864/554

Given numbers are 4686/942,7864/554

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 4686,7864

Least Common Multiple of Numerators i.e. LCM of 4686,7864 is 18425352.

GCF of Denominators means GCF of 942,554 as per the given fractions.

GCF of 942,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4686,7864

LCM of Fractions 4686/942,7864/554 is 9212676

2 4686, 7864
2343, 3932

∴ So the LCM of the given numbers is 2 x 2343 x 3932 = 18425352

Least Common Multiple of 4686,7864 with GCF Formula

Least Common Multiple of 4686,7864 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 4686,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4686,7864) = 2

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

GCF(4686,7864) x common factors =2 x 1 = 2

LCM(4686,7864) = ( 4686 × 7864 ) / 2

LCM(4686,7864) = 36850704 / 2

LCM(4686,7864) = 18425352


Lets's calculate GCF of 942,554

2 942, 554
471, 277

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18425352/2

Therefore the LCM of Fractions 4686/942,7864/554 is 9212676

Greatest Common Factor of 942,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,554 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 942,554 . The biggest common factor number is the GCF number.
So the greatest common factor 942,554 is 2.


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 4686/942, 7864/554

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 4686/942, 7864/554?

Answer: LCM of Numerators as per given numbers 4686/942, 7864/554 is

LCM of Numerators i.e. for 4686,7864 is 18425352

GCF of denominators i.e. for 942,554 is 2.

Thus, LCM of Fractions is 9212676.Finally, LCM of Fractions for 4686/942, 7864/554 is 9212676.