Least Common Multiple of 55/48, 50/26, 30/78, 34/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/48, 50/26, 30/78, 34/828 quickly i.e. 14025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/48, 50/26, 30/78, 34/828 is 14025.

LCM(55/48, 50/26, 30/78, 34/828) = 14025

LCM of 55/48, 50/26, 30/78, 34/828

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 55/48,50/26,30/78,34/828

Given numbers are 55/48,50/26,30/78,34/828

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 55,50,30,34

Least Common Multiple of Numerators i.e. LCM of 55,50,30,34 is 28050.

GCF of Denominators means GCF of 48,26,78,828 as per the given fractions.

GCF of 48,26,78,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,50,30,34

LCM of Fractions 55/48,50/26,30/78,34/828 is 14025

2 55, 50, 30, 34
5 55, 25, 15, 17
11, 5, 3, 17

∴ So the LCM of the given numbers is 2 x 5 x 11 x 5 x 3 x 17 = 28050

Least Common Multiple of 55,50,30,34 with GCF Formula

Least Common Multiple of 55,50,30,34 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 55,50,30,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,50,30,34) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(55,50,30,34) x common factors =1 x 100 = 100

LCM(55,50,30,34) = ( 55 × 50 × 30 × 34 ) / 100

LCM(55,50,30,34) = 2805000 / 100

LCM(55,50,30,34) = 28050


Lets's calculate GCF of 48,26,78,828

2 48, 26, 78, 828
24, 13, 39, 414

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28050/2

Therefore the LCM of Fractions 55/48,50/26,30/78,34/828 is 14025

Greatest Common Factor of 48,26,78,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,26,78,828 By Matching Biggest Common Factor Method

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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 48,26,78,828 . The biggest common factor number is the GCF number.
So the greatest common factor 48,26,78,828 is 2.


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 55/48, 50/26, 30/78, 34/828

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 55/48, 50/26, 30/78, 34/828?

Answer: LCM of Numerators as per given numbers 55/48, 50/26, 30/78, 34/828 is

LCM of Numerators i.e. for 55,50,30,34 is 28050

GCF of denominators i.e. for 48,26,78,828 is 2.

Thus, LCM of Fractions is 14025.Finally, LCM of Fractions for 55/48, 50/26, 30/78, 34/828 is 14025.