Least Common Multiple of 114/13, 120/17, 761/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/13, 120/17, 761/466 quickly i.e. 1735080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/13, 120/17, 761/466 is 1735080.

LCM(114/13, 120/17, 761/466) = 1735080

LCM of 114/13, 120/17, 761/466

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 114/13,120/17,761/466

Given numbers are 114/13,120/17,761/466

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 114,120,761

Least Common Multiple of Numerators i.e. LCM of 114,120,761 is 1735080.

GCF of Denominators means GCF of 13,17,466 as per the given fractions.

GCF of 13,17,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,120,761

LCM of Fractions 114/13,120/17,761/466 is 1735080

2 114, 120, 761
3 57, 60, 761
19, 20, 761

∴ So the LCM of the given numbers is 2 x 3 x 19 x 20 x 761 = 1735080

Least Common Multiple of 114,120,761 with GCF Formula

Least Common Multiple of 114,120,761 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 114,120,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,120,761) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(114,120,761) x common factors =1 x 6 = 6

LCM(114,120,761) = ( 114 × 120 × 761 ) / 6

LCM(114,120,761) = 10410480 / 6

LCM(114,120,761) = 1735080


Lets's calculate GCF of 13,17,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1735080/1

Therefore the LCM of Fractions 114/13,120/17,761/466 is 1735080

Greatest Common Factor of 13,17,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,17,466 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 13,17,466 . The biggest common factor number is the GCF number.
So the greatest common factor 13,17,466 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 114/13, 120/17, 761/466

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 114/13, 120/17, 761/466?

Answer: LCM of Numerators as per given numbers 114/13, 120/17, 761/466 is

LCM of Numerators i.e. for 114,120,761 is 1735080

GCF of denominators i.e. for 13,17,466 is 1.

Thus, LCM of Fractions is 1735080.Finally, LCM of Fractions for 114/13, 120/17, 761/466 is 1735080.