Least Common Multiple of 8295/705, 5055/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8295/705, 5055/678 quickly i.e. 931805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8295/705, 5055/678 is 931805.

LCM(8295/705, 5055/678) = 931805

LCM of 8295/705, 5055/678

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 8295/705,5055/678

Given numbers are 8295/705,5055/678

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 8295,5055

Least Common Multiple of Numerators i.e. LCM of 8295,5055 is 2795415.

GCF of Denominators means GCF of 705,678 as per the given fractions.

GCF of 705,678 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8295,5055

LCM of Fractions 8295/705,5055/678 is 931805

3 8295, 5055
5 2765, 1685
553, 337

∴ So the LCM of the given numbers is 3 x 5 x 553 x 337 = 2795415

Least Common Multiple of 8295,5055 with GCF Formula

Least Common Multiple of 8295,5055 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 8295,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8295,5055) = 15

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

GCF(8295,5055) x common factors =15 x 1 = 15

LCM(8295,5055) = ( 8295 × 5055 ) / 15

LCM(8295,5055) = 41931225 / 15

LCM(8295,5055) = 2795415


Lets's calculate GCF of 705,678

3 705, 678
235, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2795415/3

Therefore the LCM of Fractions 8295/705,5055/678 is 931805

Greatest Common Factor of 705,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,678 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 705,678 . The biggest common factor number is the GCF number.
So the greatest common factor 705,678 is 3.


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 8295/705, 5055/678

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 8295/705, 5055/678?

Answer: LCM of Numerators as per given numbers 8295/705, 5055/678 is

LCM of Numerators i.e. for 8295,5055 is 2795415

GCF of denominators i.e. for 705,678 is 3.

Thus, LCM of Fractions is 931805.Finally, LCM of Fractions for 8295/705, 5055/678 is 931805.