Least Common Multiple of 8424/142, 5984/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8424/142, 5984/282 quickly i.e. 3150576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8424/142, 5984/282 is 3150576.

LCM(8424/142, 5984/282) = 3150576

LCM of 8424/142, 5984/282

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 8424/142,5984/282

Given numbers are 8424/142,5984/282

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 8424,5984

Least Common Multiple of Numerators i.e. LCM of 8424,5984 is 6301152.

GCF of Denominators means GCF of 142,282 as per the given fractions.

GCF of 142,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8424,5984

LCM of Fractions 8424/142,5984/282 is 3150576

2 8424, 5984
2 4212, 2992
2 2106, 1496
1053, 748

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1053 x 748 = 6301152

Least Common Multiple of 8424,5984 with GCF Formula

Least Common Multiple of 8424,5984 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 8424,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8424,5984) = 8

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

GCF(8424,5984) x common factors =8 x 1 = 8

LCM(8424,5984) = ( 8424 × 5984 ) / 8

LCM(8424,5984) = 50409216 / 8

LCM(8424,5984) = 6301152


Lets's calculate GCF of 142,282

2 142, 282
71, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6301152/2

Therefore the LCM of Fractions 8424/142,5984/282 is 3150576

Greatest Common Factor of 142,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,282 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 142,282 . The biggest common factor number is the GCF number.
So the greatest common factor 142,282 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 8424/142, 5984/282

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 8424/142, 5984/282?

Answer: LCM of Numerators as per given numbers 8424/142, 5984/282 is

LCM of Numerators i.e. for 8424,5984 is 6301152

GCF of denominators i.e. for 142,282 is 2.

Thus, LCM of Fractions is 3150576.Finally, LCM of Fractions for 8424/142, 5984/282 is 3150576.