Least Common Multiple of 14/69, 30/55, 87/91, 64/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/69, 30/55, 87/91, 64/293 quickly i.e. 194880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/69, 30/55, 87/91, 64/293 is 194880.

LCM(14/69, 30/55, 87/91, 64/293) = 194880

LCM of 14/69, 30/55, 87/91, 64/293

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 14/69,30/55,87/91,64/293

Given numbers are 14/69,30/55,87/91,64/293

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 14,30,87,64

Least Common Multiple of Numerators i.e. LCM of 14,30,87,64 is 194880.

GCF of Denominators means GCF of 69,55,91,293 as per the given fractions.

GCF of 69,55,91,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,30,87,64

LCM of Fractions 14/69,30/55,87/91,64/293 is 194880

2 14, 30, 87, 64
3 7, 15, 87, 32
7, 5, 29, 32

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 29 x 32 = 194880

Least Common Multiple of 14,30,87,64 with GCF Formula

Least Common Multiple of 14,30,87,64 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 14,30,87,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,30,87,64) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(14,30,87,64) x common factors =1 x 12 = 12

LCM(14,30,87,64) = ( 14 × 30 × 87 × 64 ) / 12

LCM(14,30,87,64) = 2338560 / 12

LCM(14,30,87,64) = 194880


Lets's calculate GCF of 69,55,91,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194880/1

Therefore the LCM of Fractions 14/69,30/55,87/91,64/293 is 194880

Greatest Common Factor of 69,55,91,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,55,91,293 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 69,55,91,293 . The biggest common factor number is the GCF number.
So the greatest common factor 69,55,91,293 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 14/69, 30/55, 87/91, 64/293

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 14/69, 30/55, 87/91, 64/293?

Answer: LCM of Numerators as per given numbers 14/69, 30/55, 87/91, 64/293 is

LCM of Numerators i.e. for 14,30,87,64 is 194880

GCF of denominators i.e. for 69,55,91,293 is 1.

Thus, LCM of Fractions is 194880.Finally, LCM of Fractions for 14/69, 30/55, 87/91, 64/293 is 194880.