Least Common Multiple of 798/60, 110/4314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/60, 110/4314 quickly i.e. 7315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/60, 110/4314 is 7315.

LCM(798/60, 110/4314) = 7315

LCM of 798/60, 110/4314

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 798/60,110/4314

Given numbers are 798/60,110/4314

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 798,110

Least Common Multiple of Numerators i.e. LCM of 798,110 is 43890.

GCF of Denominators means GCF of 60,4314 as per the given fractions.

GCF of 60,4314 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,110

LCM of Fractions 798/60,110/4314 is 7315

2 798, 110
399, 55

∴ So the LCM of the given numbers is 2 x 399 x 55 = 43890

Least Common Multiple of 798,110 with GCF Formula

Least Common Multiple of 798,110 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 798,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,110) = 2

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

GCF(798,110) x common factors =2 x 1 = 2

LCM(798,110) = ( 798 × 110 ) / 2

LCM(798,110) = 87780 / 2

LCM(798,110) = 43890


Lets's calculate GCF of 60,4314

2 60, 4314
3 30, 2157
10, 719

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43890/6

Therefore the LCM of Fractions 798/60,110/4314 is 7315

Greatest Common Factor of 60,4314 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,4314 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Greatest Common Factor

We found the factors 60,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4314 is 6.


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 798/60, 110/4314

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 798/60, 110/4314?

Answer: LCM of Numerators as per given numbers 798/60, 110/4314 is

LCM of Numerators i.e. for 798,110 is 43890

GCF of denominators i.e. for 60,4314 is 6.

Thus, LCM of Fractions is 7315.Finally, LCM of Fractions for 798/60, 110/4314 is 7315.