Least Common Multiple of 9802/248, 6584/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9802/248, 6584/765 quickly i.e. 32268184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9802/248, 6584/765 is 32268184.

LCM(9802/248, 6584/765) = 32268184

LCM of 9802/248, 6584/765

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 9802/248,6584/765

Given numbers are 9802/248,6584/765

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 9802,6584

Least Common Multiple of Numerators i.e. LCM of 9802,6584 is 32268184.

GCF of Denominators means GCF of 248,765 as per the given fractions.

GCF of 248,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9802,6584

LCM of Fractions 9802/248,6584/765 is 32268184

2 9802, 6584
4901, 3292

∴ So the LCM of the given numbers is 2 x 4901 x 3292 = 32268184

Least Common Multiple of 9802,6584 with GCF Formula

Least Common Multiple of 9802,6584 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 9802,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9802,6584) = 2

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

GCF(9802,6584) x common factors =2 x 1 = 2

LCM(9802,6584) = ( 9802 × 6584 ) / 2

LCM(9802,6584) = 64536368 / 2

LCM(9802,6584) = 32268184


Lets's calculate GCF of 248,765

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32268184/1

Therefore the LCM of Fractions 9802/248,6584/765 is 32268184

Greatest Common Factor of 248,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,765 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 248,765 . The biggest common factor number is the GCF number.
So the greatest common factor 248,765 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9802/248, 6584/765

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 9802/248, 6584/765?

Answer: LCM of Numerators as per given numbers 9802/248, 6584/765 is

LCM of Numerators i.e. for 9802,6584 is 32268184

GCF of denominators i.e. for 248,765 is 1.

Thus, LCM of Fractions is 32268184.Finally, LCM of Fractions for 9802/248, 6584/765 is 32268184.