Least Common Multiple of 927/651, 8509/3069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 927/651, 8509/3069 quickly i.e. 7887843/93 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 927/651, 8509/3069 is 7887843/93.

LCM(927/651, 8509/3069) = 7887843/93

LCM of 927/651, 8509/3069

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 927/651,8509/3069

Given numbers are 927/651,8509/3069

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 927,8509

Least Common Multiple of Numerators i.e. LCM of 927,8509 is 7887843.

GCF of Denominators means GCF of 651,3069 as per the given fractions.

GCF of 651,3069 is 93 as it is the largest common factor for these numbers.

Lets's calculate LCM of 927,8509

LCM of Fractions 927/651,8509/3069 is 7887843/93

Given numbers has no common factors except 1. So, there LCM is their product i.e 7887843

Least Common Multiple of 927,8509 with GCF Formula

Least Common Multiple of 927,8509 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 927,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,8509) = 1

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

GCF(927,8509) x common factors =1 x 1 = 1

LCM(927,8509) = ( 927 × 8509 ) / 1

LCM(927,8509) = 7887843 / 1

LCM(927,8509) = 7887843


Lets's calculate GCF of 651,3069

3 651, 3069
31 217, 1023
7, 33

∴ So the GCF of the given numbers is 3 x 31 = 93

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7887843/93

Therefore the LCM of Fractions 927/651,8509/3069 is 7887843/93

Greatest Common Factor of 651,3069 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,3069 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1,3,9,11,31,33,93,99,279,341,1023,3069

Greatest Common Factor

We found the factors 651,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 651,3069 is 93.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 927/651, 8509/3069

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 927/651, 8509/3069?

Answer: LCM of Numerators as per given numbers 927/651, 8509/3069 is

LCM of Numerators i.e. for 927,8509 is 7887843

GCF of denominators i.e. for 651,3069 is 93.

Thus, LCM of Fractions is 7887843/93.Finally, LCM of Fractions for 927/651, 8509/3069 is 7887843/93.