Least Common Multiple of 34/730, 7098/8865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/730, 7098/8865 quickly i.e. 120666/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/730, 7098/8865 is 120666/5.

LCM(34/730, 7098/8865) = 120666/5

LCM of 34/730, 7098/8865

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 34/730,7098/8865

Given numbers are 34/730,7098/8865

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 34,7098

Least Common Multiple of Numerators i.e. LCM of 34,7098 is 120666.

GCF of Denominators means GCF of 730,8865 as per the given fractions.

GCF of 730,8865 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,7098

LCM of Fractions 34/730,7098/8865 is 120666/5

2 34, 7098
17, 3549

∴ So the LCM of the given numbers is 2 x 17 x 3549 = 120666

Least Common Multiple of 34,7098 with GCF Formula

Least Common Multiple of 34,7098 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 34,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,7098) = 2

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

GCF(34,7098) x common factors =2 x 1 = 2

LCM(34,7098) = ( 34 × 7098 ) / 2

LCM(34,7098) = 241332 / 2

LCM(34,7098) = 120666


Lets's calculate GCF of 730,8865

5 730, 8865
146, 1773

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120666/5

Therefore the LCM of Fractions 34/730,7098/8865 is 120666/5

Greatest Common Factor of 730,8865 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,8865 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 8865

List of positive integer factors of 8865 that divides 8865 without a remainder.

1,3,5,9,15,45,197,591,985,1773,2955,8865

Greatest Common Factor

We found the factors 730,8865 . The biggest common factor number is the GCF number.
So the greatest common factor 730,8865 is 5.


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 34/730, 7098/8865

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 34/730, 7098/8865?

Answer: LCM of Numerators as per given numbers 34/730, 7098/8865 is

LCM of Numerators i.e. for 34,7098 is 120666

GCF of denominators i.e. for 730,8865 is 5.

Thus, LCM of Fractions is 120666/5.Finally, LCM of Fractions for 34/730, 7098/8865 is 120666/5.