Least Common Multiple of 59/34, 80/352, 236/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/34, 80/352, 236/928 quickly i.e. 2360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/34, 80/352, 236/928 is 2360.

LCM(59/34, 80/352, 236/928) = 2360

LCM of 59/34, 80/352, 236/928

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 59/34,80/352,236/928

Given numbers are 59/34,80/352,236/928

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 59,80,236

Least Common Multiple of Numerators i.e. LCM of 59,80,236 is 4720.

GCF of Denominators means GCF of 34,352,928 as per the given fractions.

GCF of 34,352,928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,80,236

LCM of Fractions 59/34,80/352,236/928 is 2360

2 59, 80, 236
2 59, 40, 118
59 59, 20, 59
1, 20, 1

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1 x 20 x 1 = 4720

Least Common Multiple of 59,80,236 with GCF Formula

Least Common Multiple of 59,80,236 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 59,80,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,80,236) = 1

common factors(in case of two or more numbers have common factors) = 236

GCF(59,80,236) x common factors =1 x 236 = 236

LCM(59,80,236) = ( 59 × 80 × 236 ) / 236

LCM(59,80,236) = 1113920 / 236

LCM(59,80,236) = 4720


Lets's calculate GCF of 34,352,928

2 34, 352, 928
17, 176, 464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4720/2

Therefore the LCM of Fractions 59/34,80/352,236/928 is 2360

Greatest Common Factor of 34,352,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,352,928 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 34,352,928 . The biggest common factor number is the GCF number.
So the greatest common factor 34,352,928 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 59/34, 80/352, 236/928

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 59/34, 80/352, 236/928?

Answer: LCM of Numerators as per given numbers 59/34, 80/352, 236/928 is

LCM of Numerators i.e. for 59,80,236 is 4720

GCF of denominators i.e. for 34,352,928 is 2.

Thus, LCM of Fractions is 2360.Finally, LCM of Fractions for 59/34, 80/352, 236/928 is 2360.