Least Common Multiple of 615/705, 8068/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/705, 8068/428 quickly i.e. 4961820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/705, 8068/428 is 4961820.

LCM(615/705, 8068/428) = 4961820

LCM of 615/705, 8068/428

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 615/705,8068/428

Given numbers are 615/705,8068/428

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 615,8068

Least Common Multiple of Numerators i.e. LCM of 615,8068 is 4961820.

GCF of Denominators means GCF of 705,428 as per the given fractions.

GCF of 705,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,8068

LCM of Fractions 615/705,8068/428 is 4961820

Given numbers has no common factors except 1. So, there LCM is their product i.e 4961820

Least Common Multiple of 615,8068 with GCF Formula

Least Common Multiple of 615,8068 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 615,8068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,8068) = 1

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

GCF(615,8068) x common factors =1 x 1 = 1

LCM(615,8068) = ( 615 × 8068 ) / 1

LCM(615,8068) = 4961820 / 1

LCM(615,8068) = 4961820


Lets's calculate GCF of 705,428

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4961820/1

Therefore the LCM of Fractions 615/705,8068/428 is 4961820

Greatest Common Factor of 705,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,428 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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 705,428 . The biggest common factor number is the GCF number.
So the greatest common factor 705,428 is 1.


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 615/705, 8068/428

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 615/705, 8068/428?

Answer: LCM of Numerators as per given numbers 615/705, 8068/428 is

LCM of Numerators i.e. for 615,8068 is 4961820

GCF of denominators i.e. for 705,428 is 1.

Thus, LCM of Fractions is 4961820.Finally, LCM of Fractions for 615/705, 8068/428 is 4961820.