Least Common Multiple of 52/17, 77/55, 37/75, 15/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/17, 77/55, 37/75, 15/426 quickly i.e. 2222220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/17, 77/55, 37/75, 15/426 is 2222220.

LCM(52/17, 77/55, 37/75, 15/426) = 2222220

LCM of 52/17, 77/55, 37/75, 15/426

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 52/17,77/55,37/75,15/426

Given numbers are 52/17,77/55,37/75,15/426

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 52,77,37,15

Least Common Multiple of Numerators i.e. LCM of 52,77,37,15 is 2222220.

GCF of Denominators means GCF of 17,55,75,426 as per the given fractions.

GCF of 17,55,75,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,77,37,15

LCM of Fractions 52/17,77/55,37/75,15/426 is 2222220

Given numbers has no common factors except 1. So, there LCM is their product i.e 2222220

Least Common Multiple of 52,77,37,15 with GCF Formula

Least Common Multiple of 52,77,37,15 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 52,77,37,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,77,37,15) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(52,77,37,15) x common factors =1 x 1 = 1

LCM(52,77,37,15) = ( 52 × 77 × 37 × 15 ) / 1

LCM(52,77,37,15) = 2222220 / 1

LCM(52,77,37,15) = 2222220


Lets's calculate GCF of 17,55,75,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2222220/1

Therefore the LCM of Fractions 52/17,77/55,37/75,15/426 is 2222220

Greatest Common Factor of 17,55,75,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,55,75,426 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 55

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

1,5,11,55

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 17,55,75,426 . The biggest common factor number is the GCF number.
So the greatest common factor 17,55,75,426 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/17, 77/55, 37/75, 15/426

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 52/17, 77/55, 37/75, 15/426?

Answer: LCM of Numerators as per given numbers 52/17, 77/55, 37/75, 15/426 is

LCM of Numerators i.e. for 52,77,37,15 is 2222220

GCF of denominators i.e. for 17,55,75,426 is 1.

Thus, LCM of Fractions is 2222220.Finally, LCM of Fractions for 52/17, 77/55, 37/75, 15/426 is 2222220.