Least Common Multiple of 610/675, 5328/6834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/675, 5328/6834 quickly i.e. 541680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/675, 5328/6834 is 541680.

LCM(610/675, 5328/6834) = 541680

LCM of 610/675, 5328/6834

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 610/675,5328/6834

Given numbers are 610/675,5328/6834

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 610,5328

Least Common Multiple of Numerators i.e. LCM of 610,5328 is 1625040.

GCF of Denominators means GCF of 675,6834 as per the given fractions.

GCF of 675,6834 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,5328

LCM of Fractions 610/675,5328/6834 is 541680

2 610, 5328
305, 2664

∴ So the LCM of the given numbers is 2 x 305 x 2664 = 1625040

Least Common Multiple of 610,5328 with GCF Formula

Least Common Multiple of 610,5328 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 610,5328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,5328) = 2

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

GCF(610,5328) x common factors =2 x 1 = 2

LCM(610,5328) = ( 610 × 5328 ) / 2

LCM(610,5328) = 3250080 / 2

LCM(610,5328) = 1625040


Lets's calculate GCF of 675,6834

3 675, 6834
225, 2278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1625040/3

Therefore the LCM of Fractions 610/675,5328/6834 is 541680

Greatest Common Factor of 675,6834 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,6834 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

Greatest Common Factor

We found the factors 675,6834 . The biggest common factor number is the GCF number.
So the greatest common factor 675,6834 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 610/675, 5328/6834

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 610/675, 5328/6834?

Answer: LCM of Numerators as per given numbers 610/675, 5328/6834 is

LCM of Numerators i.e. for 610,5328 is 1625040

GCF of denominators i.e. for 675,6834 is 3.

Thus, LCM of Fractions is 541680.Finally, LCM of Fractions for 610/675, 5328/6834 is 541680.