Least Common Multiple of 46/14, 34/772, 880/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/14, 34/772, 880/187 quickly i.e. 344080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/14, 34/772, 880/187 is 344080.

LCM(46/14, 34/772, 880/187) = 344080

LCM of 46/14, 34/772, 880/187

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 46/14,34/772,880/187

Given numbers are 46/14,34/772,880/187

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 46,34,880

Least Common Multiple of Numerators i.e. LCM of 46,34,880 is 344080.

GCF of Denominators means GCF of 14,772,187 as per the given fractions.

GCF of 14,772,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,34,880

LCM of Fractions 46/14,34/772,880/187 is 344080

2 46, 34, 880
23, 17, 440

∴ So the LCM of the given numbers is 2 x 23 x 17 x 440 = 344080

Least Common Multiple of 46,34,880 with GCF Formula

Least Common Multiple of 46,34,880 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 46,34,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,34,880) = 2

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

GCF(46,34,880) x common factors =2 x 2 = 4

LCM(46,34,880) = ( 46 × 34 × 880 ) / 4

LCM(46,34,880) = 1376320 / 4

LCM(46,34,880) = 344080


Lets's calculate GCF of 14,772,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344080/1

Therefore the LCM of Fractions 46/14,34/772,880/187 is 344080

Greatest Common Factor of 14,772,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,772,187 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 14,772,187 . The biggest common factor number is the GCF number.
So the greatest common factor 14,772,187 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 46/14, 34/772, 880/187

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 46/14, 34/772, 880/187?

Answer: LCM of Numerators as per given numbers 46/14, 34/772, 880/187 is

LCM of Numerators i.e. for 46,34,880 is 344080

GCF of denominators i.e. for 14,772,187 is 1.

Thus, LCM of Fractions is 344080.Finally, LCM of Fractions for 46/14, 34/772, 880/187 is 344080.