Least Common Multiple of 6509/310, 3043/9774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6509/310, 3043/9774 quickly i.e. 19806887/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6509/310, 3043/9774 is 19806887/2.

LCM(6509/310, 3043/9774) = 19806887/2

LCM of 6509/310, 3043/9774

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 6509/310,3043/9774

Given numbers are 6509/310,3043/9774

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 6509,3043

Least Common Multiple of Numerators i.e. LCM of 6509,3043 is 19806887.

GCF of Denominators means GCF of 310,9774 as per the given fractions.

GCF of 310,9774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6509,3043

LCM of Fractions 6509/310,3043/9774 is 19806887/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 19806887

Least Common Multiple of 6509,3043 with GCF Formula

Least Common Multiple of 6509,3043 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 6509,3043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6509,3043) = 1

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

GCF(6509,3043) x common factors =1 x 1 = 1

LCM(6509,3043) = ( 6509 × 3043 ) / 1

LCM(6509,3043) = 19806887 / 1

LCM(6509,3043) = 19806887


Lets's calculate GCF of 310,9774

2 310, 9774
155, 4887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19806887/2

Therefore the LCM of Fractions 6509/310,3043/9774 is 19806887/2

Greatest Common Factor of 310,9774 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,9774 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Greatest Common Factor

We found the factors 310,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 310,9774 is 2.


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 6509/310, 3043/9774

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 6509/310, 3043/9774?

Answer: LCM of Numerators as per given numbers 6509/310, 3043/9774 is

LCM of Numerators i.e. for 6509,3043 is 19806887

GCF of denominators i.e. for 310,9774 is 2.

Thus, LCM of Fractions is 19806887/2.Finally, LCM of Fractions for 6509/310, 3043/9774 is 19806887/2.