Least Common Multiple of 55/26, 57/84, 60/93, 22/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/26, 57/84, 60/93, 22/892 quickly i.e. 12540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/26, 57/84, 60/93, 22/892 is 12540.

LCM(55/26, 57/84, 60/93, 22/892) = 12540

LCM of 55/26, 57/84, 60/93, 22/892

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 55/26,57/84,60/93,22/892

Given numbers are 55/26,57/84,60/93,22/892

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 55,57,60,22

Least Common Multiple of Numerators i.e. LCM of 55,57,60,22 is 12540.

GCF of Denominators means GCF of 26,84,93,892 as per the given fractions.

GCF of 26,84,93,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,57,60,22

LCM of Fractions 55/26,57/84,60/93,22/892 is 12540

2 55, 57, 60, 22
3 55, 57, 30, 11
5 55, 19, 10, 11
11 11, 19, 2, 11
1, 19, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 19 x 2 x 1 = 12540

Least Common Multiple of 55,57,60,22 with GCF Formula

Least Common Multiple of 55,57,60,22 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 55,57,60,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,57,60,22) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(55,57,60,22) x common factors =1 x 330 = 330

LCM(55,57,60,22) = ( 55 × 57 × 60 × 22 ) / 330

LCM(55,57,60,22) = 4138200 / 330

LCM(55,57,60,22) = 12540


Lets's calculate GCF of 26,84,93,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12540/1

Therefore the LCM of Fractions 55/26,57/84,60/93,22/892 is 12540

Greatest Common Factor of 26,84,93,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,84,93,892 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 26,84,93,892 . The biggest common factor number is the GCF number.
So the greatest common factor 26,84,93,892 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 55/26, 57/84, 60/93, 22/892

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 55/26, 57/84, 60/93, 22/892?

Answer: LCM of Numerators as per given numbers 55/26, 57/84, 60/93, 22/892 is

LCM of Numerators i.e. for 55,57,60,22 is 12540

GCF of denominators i.e. for 26,84,93,892 is 1.

Thus, LCM of Fractions is 12540.Finally, LCM of Fractions for 55/26, 57/84, 60/93, 22/892 is 12540.