Least Common Multiple of 84/942, 7222/5687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/942, 7222/5687 quickly i.e. 303324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/942, 7222/5687 is 303324.

LCM(84/942, 7222/5687) = 303324

LCM of 84/942, 7222/5687

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 84/942,7222/5687

Given numbers are 84/942,7222/5687

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 84,7222

Least Common Multiple of Numerators i.e. LCM of 84,7222 is 303324.

GCF of Denominators means GCF of 942,5687 as per the given fractions.

GCF of 942,5687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,7222

LCM of Fractions 84/942,7222/5687 is 303324

2 84, 7222
42, 3611

∴ So the LCM of the given numbers is 2 x 42 x 3611 = 303324

Least Common Multiple of 84,7222 with GCF Formula

Least Common Multiple of 84,7222 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 84,7222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,7222) = 2

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

GCF(84,7222) x common factors =2 x 1 = 2

LCM(84,7222) = ( 84 × 7222 ) / 2

LCM(84,7222) = 606648 / 2

LCM(84,7222) = 303324


Lets's calculate GCF of 942,5687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303324/1

Therefore the LCM of Fractions 84/942,7222/5687 is 303324

Greatest Common Factor of 942,5687 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,5687 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 5687

List of positive integer factors of 5687 that divides 5687 without a remainder.

1,11,47,121,517,5687

Greatest Common Factor

We found the factors 942,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 942,5687 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 84/942, 7222/5687

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 84/942, 7222/5687?

Answer: LCM of Numerators as per given numbers 84/942, 7222/5687 is

LCM of Numerators i.e. for 84,7222 is 303324

GCF of denominators i.e. for 942,5687 is 1.

Thus, LCM of Fractions is 303324.Finally, LCM of Fractions for 84/942, 7222/5687 is 303324.