Least Common Multiple of 8456/996, 7504/8030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8456/996, 7504/8030 quickly i.e. 566552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8456/996, 7504/8030 is 566552.

LCM(8456/996, 7504/8030) = 566552

LCM of 8456/996, 7504/8030

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 8456/996,7504/8030

Given numbers are 8456/996,7504/8030

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 8456,7504

Least Common Multiple of Numerators i.e. LCM of 8456,7504 is 1133104.

GCF of Denominators means GCF of 996,8030 as per the given fractions.

GCF of 996,8030 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8456,7504

LCM of Fractions 8456/996,7504/8030 is 566552

2 8456, 7504
2 4228, 3752
2 2114, 1876
7 1057, 938
151, 134

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 151 x 134 = 1133104

Least Common Multiple of 8456,7504 with GCF Formula

Least Common Multiple of 8456,7504 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 8456,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8456,7504) = 56

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

GCF(8456,7504) x common factors =56 x 1 = 56

LCM(8456,7504) = ( 8456 × 7504 ) / 56

LCM(8456,7504) = 63453824 / 56

LCM(8456,7504) = 1133104


Lets's calculate GCF of 996,8030

2 996, 8030
498, 4015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133104/2

Therefore the LCM of Fractions 8456/996,7504/8030 is 566552

Greatest Common Factor of 996,8030 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,8030 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors 996,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 996,8030 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 8456/996, 7504/8030

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 8456/996, 7504/8030?

Answer: LCM of Numerators as per given numbers 8456/996, 7504/8030 is

LCM of Numerators i.e. for 8456,7504 is 1133104

GCF of denominators i.e. for 996,8030 is 2.

Thus, LCM of Fractions is 566552.Finally, LCM of Fractions for 8456/996, 7504/8030 is 566552.