Least Common Multiple of 8474/490, 9833/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8474/490, 9833/735 quickly i.e. 83324842/245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8474/490, 9833/735 is 83324842/245.

LCM(8474/490, 9833/735) = 83324842/245

LCM of 8474/490, 9833/735

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 8474/490,9833/735

Given numbers are 8474/490,9833/735

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 8474,9833

Least Common Multiple of Numerators i.e. LCM of 8474,9833 is 83324842.

GCF of Denominators means GCF of 490,735 as per the given fractions.

GCF of 490,735 is 245 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8474,9833

LCM of Fractions 8474/490,9833/735 is 83324842/245

Given numbers has no common factors except 1. So, there LCM is their product i.e 83324842

Least Common Multiple of 8474,9833 with GCF Formula

Least Common Multiple of 8474,9833 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 8474,9833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8474,9833) = 1

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

GCF(8474,9833) x common factors =1 x 1 = 1

LCM(8474,9833) = ( 8474 × 9833 ) / 1

LCM(8474,9833) = 83324842 / 1

LCM(8474,9833) = 83324842


Lets's calculate GCF of 490,735

5 490, 735
7 98, 147
7 14, 21
2, 3

∴ So the GCF of the given numbers is 5 x 7 x 7 = 245

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83324842/245

Therefore the LCM of Fractions 8474/490,9833/735 is 83324842/245

Greatest Common Factor of 490,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,735 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 490,735 . The biggest common factor number is the GCF number.
So the greatest common factor 490,735 is 245.


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 8474/490, 9833/735

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 8474/490, 9833/735?

Answer: LCM of Numerators as per given numbers 8474/490, 9833/735 is

LCM of Numerators i.e. for 8474,9833 is 83324842

GCF of denominators i.e. for 490,735 is 245.

Thus, LCM of Fractions is 83324842/245.Finally, LCM of Fractions for 8474/490, 9833/735 is 83324842/245.