Least Common Multiple of 9213/860, 2502/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9213/860, 2502/598 quickly i.e. 3841821 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9213/860, 2502/598 is 3841821.

LCM(9213/860, 2502/598) = 3841821

LCM of 9213/860, 2502/598

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 9213/860,2502/598

Given numbers are 9213/860,2502/598

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 9213,2502

Least Common Multiple of Numerators i.e. LCM of 9213,2502 is 7683642.

GCF of Denominators means GCF of 860,598 as per the given fractions.

GCF of 860,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9213,2502

LCM of Fractions 9213/860,2502/598 is 3841821

3 9213, 2502
3071, 834

∴ So the LCM of the given numbers is 3 x 3071 x 834 = 7683642

Least Common Multiple of 9213,2502 with GCF Formula

Least Common Multiple of 9213,2502 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 9213,2502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9213,2502) = 3

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

GCF(9213,2502) x common factors =3 x 1 = 3

LCM(9213,2502) = ( 9213 × 2502 ) / 3

LCM(9213,2502) = 23050926 / 3

LCM(9213,2502) = 7683642


Lets's calculate GCF of 860,598

2 860, 598
430, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7683642/2

Therefore the LCM of Fractions 9213/860,2502/598 is 3841821

Greatest Common Factor of 860,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,598 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 860,598 . The biggest common factor number is the GCF number.
So the greatest common factor 860,598 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9213/860, 2502/598

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 9213/860, 2502/598?

Answer: LCM of Numerators as per given numbers 9213/860, 2502/598 is

LCM of Numerators i.e. for 9213,2502 is 7683642

GCF of denominators i.e. for 860,598 is 2.

Thus, LCM of Fractions is 3841821.Finally, LCM of Fractions for 9213/860, 2502/598 is 3841821.