Least Common Multiple of 9529/798, 8458/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9529/798, 8458/475 quickly i.e. 80596282/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9529/798, 8458/475 is 80596282/19.

LCM(9529/798, 8458/475) = 80596282/19

LCM of 9529/798, 8458/475

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 9529/798,8458/475

Given numbers are 9529/798,8458/475

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 9529,8458

Least Common Multiple of Numerators i.e. LCM of 9529,8458 is 80596282.

GCF of Denominators means GCF of 798,475 as per the given fractions.

GCF of 798,475 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9529,8458

LCM of Fractions 9529/798,8458/475 is 80596282/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 80596282

Least Common Multiple of 9529,8458 with GCF Formula

Least Common Multiple of 9529,8458 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 9529,8458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9529,8458) = 1

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

GCF(9529,8458) x common factors =1 x 1 = 1

LCM(9529,8458) = ( 9529 × 8458 ) / 1

LCM(9529,8458) = 80596282 / 1

LCM(9529,8458) = 80596282


Lets's calculate GCF of 798,475

19 798, 475
42, 25

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80596282/19

Therefore the LCM of Fractions 9529/798,8458/475 is 80596282/19

Greatest Common Factor of 798,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,475 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 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 798,475 . The biggest common factor number is the GCF number.
So the greatest common factor 798,475 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9529/798, 8458/475

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 9529/798, 8458/475?

Answer: LCM of Numerators as per given numbers 9529/798, 8458/475 is

LCM of Numerators i.e. for 9529,8458 is 80596282

GCF of denominators i.e. for 798,475 is 19.

Thus, LCM of Fractions is 80596282/19.Finally, LCM of Fractions for 9529/798, 8458/475 is 80596282/19.