Least Common Multiple of 7996/10, 8430/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7996/10, 8430/504 quickly i.e. 16851570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7996/10, 8430/504 is 16851570.

LCM(7996/10, 8430/504) = 16851570

LCM of 7996/10, 8430/504

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 7996/10,8430/504

Given numbers are 7996/10,8430/504

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 7996,8430

Least Common Multiple of Numerators i.e. LCM of 7996,8430 is 33703140.

GCF of Denominators means GCF of 10,504 as per the given fractions.

GCF of 10,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7996,8430

LCM of Fractions 7996/10,8430/504 is 16851570

2 7996, 8430
3998, 4215

∴ So the LCM of the given numbers is 2 x 3998 x 4215 = 33703140

Least Common Multiple of 7996,8430 with GCF Formula

Least Common Multiple of 7996,8430 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 7996,8430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7996,8430) = 2

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

GCF(7996,8430) x common factors =2 x 1 = 2

LCM(7996,8430) = ( 7996 × 8430 ) / 2

LCM(7996,8430) = 67406280 / 2

LCM(7996,8430) = 33703140


Lets's calculate GCF of 10,504

2 10, 504
5, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33703140/2

Therefore the LCM of Fractions 7996/10,8430/504 is 16851570

Greatest Common Factor of 10,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,504 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 10,504 . The biggest common factor number is the GCF number.
So the greatest common factor 10,504 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 7996/10, 8430/504

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 7996/10, 8430/504?

Answer: LCM of Numerators as per given numbers 7996/10, 8430/504 is

LCM of Numerators i.e. for 7996,8430 is 33703140

GCF of denominators i.e. for 10,504 is 2.

Thus, LCM of Fractions is 16851570.Finally, LCM of Fractions for 7996/10, 8430/504 is 16851570.