Least Common Multiple of 3054/846, 8155/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3054/846, 8155/687 quickly i.e. 8301790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3054/846, 8155/687 is 8301790.

LCM(3054/846, 8155/687) = 8301790

LCM of 3054/846, 8155/687

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 3054/846,8155/687

Given numbers are 3054/846,8155/687

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 3054,8155

Least Common Multiple of Numerators i.e. LCM of 3054,8155 is 24905370.

GCF of Denominators means GCF of 846,687 as per the given fractions.

GCF of 846,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3054,8155

LCM of Fractions 3054/846,8155/687 is 8301790

Given numbers has no common factors except 1. So, there LCM is their product i.e 24905370

Least Common Multiple of 3054,8155 with GCF Formula

Least Common Multiple of 3054,8155 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 3054,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3054,8155) = 1

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

GCF(3054,8155) x common factors =1 x 1 = 1

LCM(3054,8155) = ( 3054 × 8155 ) / 1

LCM(3054,8155) = 24905370 / 1

LCM(3054,8155) = 24905370


Lets's calculate GCF of 846,687

3 846, 687
282, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24905370/3

Therefore the LCM of Fractions 3054/846,8155/687 is 8301790

Greatest Common Factor of 846,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,687 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 846,687 . The biggest common factor number is the GCF number.
So the greatest common factor 846,687 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3054/846, 8155/687

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 3054/846, 8155/687?

Answer: LCM of Numerators as per given numbers 3054/846, 8155/687 is

LCM of Numerators i.e. for 3054,8155 is 24905370

GCF of denominators i.e. for 846,687 is 3.

Thus, LCM of Fractions is 8301790.Finally, LCM of Fractions for 3054/846, 8155/687 is 8301790.