Least Common Multiple of 614/13, 101/48, 298/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/13, 101/48, 298/84 quickly i.e. 9240086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/13, 101/48, 298/84 is 9240086.

LCM(614/13, 101/48, 298/84) = 9240086

LCM of 614/13, 101/48, 298/84

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 614/13,101/48,298/84

Given numbers are 614/13,101/48,298/84

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 614,101,298

Least Common Multiple of Numerators i.e. LCM of 614,101,298 is 9240086.

GCF of Denominators means GCF of 13,48,84 as per the given fractions.

GCF of 13,48,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,101,298

LCM of Fractions 614/13,101/48,298/84 is 9240086

2 614, 101, 298
307, 101, 149

∴ So the LCM of the given numbers is 2 x 307 x 101 x 149 = 9240086

Least Common Multiple of 614,101,298 with GCF Formula

Least Common Multiple of 614,101,298 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 614,101,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,101,298) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(614,101,298) x common factors =1 x 2 = 2

LCM(614,101,298) = ( 614 × 101 × 298 ) / 2

LCM(614,101,298) = 18480172 / 2

LCM(614,101,298) = 9240086


Lets's calculate GCF of 13,48,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240086/1

Therefore the LCM of Fractions 614/13,101/48,298/84 is 9240086

Greatest Common Factor of 13,48,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,48,84 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 13,48,84 . The biggest common factor number is the GCF number.
So the greatest common factor 13,48,84 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 614/13, 101/48, 298/84

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 614/13, 101/48, 298/84?

Answer: LCM of Numerators as per given numbers 614/13, 101/48, 298/84 is

LCM of Numerators i.e. for 614,101,298 is 9240086

GCF of denominators i.e. for 13,48,84 is 1.

Thus, LCM of Fractions is 9240086.Finally, LCM of Fractions for 614/13, 101/48, 298/84 is 9240086.