Least Common Multiple of 9498/62, 8385/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9498/62, 8385/240 quickly i.e. 13273455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9498/62, 8385/240 is 13273455.

LCM(9498/62, 8385/240) = 13273455

LCM of 9498/62, 8385/240

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 9498/62,8385/240

Given numbers are 9498/62,8385/240

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 9498,8385

Least Common Multiple of Numerators i.e. LCM of 9498,8385 is 26546910.

GCF of Denominators means GCF of 62,240 as per the given fractions.

GCF of 62,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9498,8385

LCM of Fractions 9498/62,8385/240 is 13273455

3 9498, 8385
3166, 2795

∴ So the LCM of the given numbers is 3 x 3166 x 2795 = 26546910

Least Common Multiple of 9498,8385 with GCF Formula

Least Common Multiple of 9498,8385 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 9498,8385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9498,8385) = 3

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

GCF(9498,8385) x common factors =3 x 1 = 3

LCM(9498,8385) = ( 9498 × 8385 ) / 3

LCM(9498,8385) = 79640730 / 3

LCM(9498,8385) = 26546910


Lets's calculate GCF of 62,240

2 62, 240
31, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26546910/2

Therefore the LCM of Fractions 9498/62,8385/240 is 13273455

Greatest Common Factor of 62,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,240 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 62,240 . The biggest common factor number is the GCF number.
So the greatest common factor 62,240 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9498/62, 8385/240

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 9498/62, 8385/240?

Answer: LCM of Numerators as per given numbers 9498/62, 8385/240 is

LCM of Numerators i.e. for 9498,8385 is 26546910

GCF of denominators i.e. for 62,240 is 2.

Thus, LCM of Fractions is 13273455.Finally, LCM of Fractions for 9498/62, 8385/240 is 13273455.