Least Common Multiple of 6142/970, 5904/8424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6142/970, 5904/8424 quickly i.e. 9065592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6142/970, 5904/8424 is 9065592.

LCM(6142/970, 5904/8424) = 9065592

LCM of 6142/970, 5904/8424

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 6142/970,5904/8424

Given numbers are 6142/970,5904/8424

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 6142,5904

Least Common Multiple of Numerators i.e. LCM of 6142,5904 is 18131184.

GCF of Denominators means GCF of 970,8424 as per the given fractions.

GCF of 970,8424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6142,5904

LCM of Fractions 6142/970,5904/8424 is 9065592

2 6142, 5904
3071, 2952

∴ So the LCM of the given numbers is 2 x 3071 x 2952 = 18131184

Least Common Multiple of 6142,5904 with GCF Formula

Least Common Multiple of 6142,5904 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 6142,5904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6142,5904) = 2

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

GCF(6142,5904) x common factors =2 x 1 = 2

LCM(6142,5904) = ( 6142 × 5904 ) / 2

LCM(6142,5904) = 36262368 / 2

LCM(6142,5904) = 18131184


Lets's calculate GCF of 970,8424

2 970, 8424
485, 4212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18131184/2

Therefore the LCM of Fractions 6142/970,5904/8424 is 9065592

Greatest Common Factor of 970,8424 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,8424 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Greatest Common Factor

We found the factors 970,8424 . The biggest common factor number is the GCF number.
So the greatest common factor 970,8424 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 6142/970, 5904/8424

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 6142/970, 5904/8424?

Answer: LCM of Numerators as per given numbers 6142/970, 5904/8424 is

LCM of Numerators i.e. for 6142,5904 is 18131184

GCF of denominators i.e. for 970,8424 is 2.

Thus, LCM of Fractions is 9065592.Finally, LCM of Fractions for 6142/970, 5904/8424 is 9065592.