Least Common Multiple of 942/90, 669/7678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/90, 669/7678 quickly i.e. 105033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/90, 669/7678 is 105033.

LCM(942/90, 669/7678) = 105033

LCM of 942/90, 669/7678

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 942/90,669/7678

Given numbers are 942/90,669/7678

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 942,669

Least Common Multiple of Numerators i.e. LCM of 942,669 is 210066.

GCF of Denominators means GCF of 90,7678 as per the given fractions.

GCF of 90,7678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,669

LCM of Fractions 942/90,669/7678 is 105033

3 942, 669
314, 223

∴ So the LCM of the given numbers is 3 x 314 x 223 = 210066

Least Common Multiple of 942,669 with GCF Formula

Least Common Multiple of 942,669 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 942,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,669) = 3

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

GCF(942,669) x common factors =3 x 1 = 3

LCM(942,669) = ( 942 × 669 ) / 3

LCM(942,669) = 630198 / 3

LCM(942,669) = 210066


Lets's calculate GCF of 90,7678

2 90, 7678
45, 3839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210066/2

Therefore the LCM of Fractions 942/90,669/7678 is 105033

Greatest Common Factor of 90,7678 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7678 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 90,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7678 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 942/90, 669/7678

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 942/90, 669/7678?

Answer: LCM of Numerators as per given numbers 942/90, 669/7678 is

LCM of Numerators i.e. for 942,669 is 210066

GCF of denominators i.e. for 90,7678 is 2.

Thus, LCM of Fractions is 105033.Finally, LCM of Fractions for 942/90, 669/7678 is 105033.