Least Common Multiple of 2334/93, 8919/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2334/93, 8919/315 quickly i.e. 2312994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2334/93, 8919/315 is 2312994.

LCM(2334/93, 8919/315) = 2312994

LCM of 2334/93, 8919/315

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 2334/93,8919/315

Given numbers are 2334/93,8919/315

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 2334,8919

Least Common Multiple of Numerators i.e. LCM of 2334,8919 is 6938982.

GCF of Denominators means GCF of 93,315 as per the given fractions.

GCF of 93,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2334,8919

LCM of Fractions 2334/93,8919/315 is 2312994

3 2334, 8919
778, 2973

∴ So the LCM of the given numbers is 3 x 778 x 2973 = 6938982

Least Common Multiple of 2334,8919 with GCF Formula

Least Common Multiple of 2334,8919 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 2334,8919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2334,8919) = 3

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

GCF(2334,8919) x common factors =3 x 1 = 3

LCM(2334,8919) = ( 2334 × 8919 ) / 3

LCM(2334,8919) = 20816946 / 3

LCM(2334,8919) = 6938982


Lets's calculate GCF of 93,315

3 93, 315
31, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6938982/3

Therefore the LCM of Fractions 2334/93,8919/315 is 2312994

Greatest Common Factor of 93,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,315 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 93,315 . The biggest common factor number is the GCF number.
So the greatest common factor 93,315 is 3.


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Frequently Asked Questions on Fractional LCM of 2334/93, 8919/315

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 2334/93, 8919/315?

Answer: LCM of Numerators as per given numbers 2334/93, 8919/315 is

LCM of Numerators i.e. for 2334,8919 is 6938982

GCF of denominators i.e. for 93,315 is 3.

Thus, LCM of Fractions is 2312994.Finally, LCM of Fractions for 2334/93, 8919/315 is 2312994.