Least Common Multiple of 9712/798, 4036/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9712/798, 4036/430 quickly i.e. 4899704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9712/798, 4036/430 is 4899704.

LCM(9712/798, 4036/430) = 4899704

LCM of 9712/798, 4036/430

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 9712/798,4036/430

Given numbers are 9712/798,4036/430

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 9712,4036

Least Common Multiple of Numerators i.e. LCM of 9712,4036 is 9799408.

GCF of Denominators means GCF of 798,430 as per the given fractions.

GCF of 798,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9712,4036

LCM of Fractions 9712/798,4036/430 is 4899704

2 9712, 4036
2 4856, 2018
2428, 1009

∴ So the LCM of the given numbers is 2 x 2 x 2428 x 1009 = 9799408

Least Common Multiple of 9712,4036 with GCF Formula

Least Common Multiple of 9712,4036 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 9712,4036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9712,4036) = 4

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

GCF(9712,4036) x common factors =4 x 1 = 4

LCM(9712,4036) = ( 9712 × 4036 ) / 4

LCM(9712,4036) = 39197632 / 4

LCM(9712,4036) = 9799408


Lets's calculate GCF of 798,430

2 798, 430
399, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9799408/2

Therefore the LCM of Fractions 9712/798,4036/430 is 4899704

Greatest Common Factor of 798,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,430 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 798,430 . The biggest common factor number is the GCF number.
So the greatest common factor 798,430 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 9712/798, 4036/430

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 9712/798, 4036/430?

Answer: LCM of Numerators as per given numbers 9712/798, 4036/430 is

LCM of Numerators i.e. for 9712,4036 is 9799408

GCF of denominators i.e. for 798,430 is 2.

Thus, LCM of Fractions is 4899704.Finally, LCM of Fractions for 9712/798, 4036/430 is 4899704.