Least Common Multiple of 2984/892, 4142/5632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2984/892, 4142/5632 quickly i.e. 1544966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2984/892, 4142/5632 is 1544966.

LCM(2984/892, 4142/5632) = 1544966

LCM of 2984/892, 4142/5632

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 2984/892,4142/5632

Given numbers are 2984/892,4142/5632

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 2984,4142

Least Common Multiple of Numerators i.e. LCM of 2984,4142 is 6179864.

GCF of Denominators means GCF of 892,5632 as per the given fractions.

GCF of 892,5632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2984,4142

LCM of Fractions 2984/892,4142/5632 is 1544966

2 2984, 4142
1492, 2071

∴ So the LCM of the given numbers is 2 x 1492 x 2071 = 6179864

Least Common Multiple of 2984,4142 with GCF Formula

Least Common Multiple of 2984,4142 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 2984,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2984,4142) = 2

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

GCF(2984,4142) x common factors =2 x 1 = 2

LCM(2984,4142) = ( 2984 × 4142 ) / 2

LCM(2984,4142) = 12359728 / 2

LCM(2984,4142) = 6179864


Lets's calculate GCF of 892,5632

2 892, 5632
2 446, 2816
223, 1408

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6179864/4

Therefore the LCM of Fractions 2984/892,4142/5632 is 1544966

Greatest Common Factor of 892,5632 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,5632 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 5632

List of positive integer factors of 5632 that divides 5632 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632

Greatest Common Factor

We found the factors 892,5632 . The biggest common factor number is the GCF number.
So the greatest common factor 892,5632 is 4.


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 2984/892, 4142/5632

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 2984/892, 4142/5632?

Answer: LCM of Numerators as per given numbers 2984/892, 4142/5632 is

LCM of Numerators i.e. for 2984,4142 is 6179864

GCF of denominators i.e. for 892,5632 is 4.

Thus, LCM of Fractions is 1544966.Finally, LCM of Fractions for 2984/892, 4142/5632 is 1544966.