Least Common Multiple of 55/78, 17/15, 58/55, 14/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/78, 17/15, 58/55, 14/810 quickly i.e. 379610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/78, 17/15, 58/55, 14/810 is 379610.

LCM(55/78, 17/15, 58/55, 14/810) = 379610

LCM of 55/78, 17/15, 58/55, 14/810

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 55/78,17/15,58/55,14/810

Given numbers are 55/78,17/15,58/55,14/810

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 55,17,58,14

Least Common Multiple of Numerators i.e. LCM of 55,17,58,14 is 379610.

GCF of Denominators means GCF of 78,15,55,810 as per the given fractions.

GCF of 78,15,55,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,17,58,14

LCM of Fractions 55/78,17/15,58/55,14/810 is 379610

2 55, 17, 58, 14
55, 17, 29, 7

∴ So the LCM of the given numbers is 2 x 55 x 17 x 29 x 7 = 379610

Least Common Multiple of 55,17,58,14 with GCF Formula

Least Common Multiple of 55,17,58,14 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 55,17,58,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,17,58,14) = 1

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

GCF(55,17,58,14) x common factors =1 x 2 = 2

LCM(55,17,58,14) = ( 55 × 17 × 58 × 14 ) / 2

LCM(55,17,58,14) = 759220 / 2

LCM(55,17,58,14) = 379610


Lets's calculate GCF of 78,15,55,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379610/1

Therefore the LCM of Fractions 55/78,17/15,58/55,14/810 is 379610

Greatest Common Factor of 78,15,55,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,15,55,810 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 55

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

1,5,11,55

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 78,15,55,810 . The biggest common factor number is the GCF number.
So the greatest common factor 78,15,55,810 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 55/78, 17/15, 58/55, 14/810

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 55/78, 17/15, 58/55, 14/810?

Answer: LCM of Numerators as per given numbers 55/78, 17/15, 58/55, 14/810 is

LCM of Numerators i.e. for 55,17,58,14 is 379610

GCF of denominators i.e. for 78,15,55,810 is 1.

Thus, LCM of Fractions is 379610.Finally, LCM of Fractions for 55/78, 17/15, 58/55, 14/810 is 379610.