Least Common Multiple of 35/380, 17/580, 248/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/380, 17/580, 248/536 quickly i.e. 36890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/380, 17/580, 248/536 is 36890.

LCM(35/380, 17/580, 248/536) = 36890

LCM of 35/380, 17/580, 248/536

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 35/380,17/580,248/536

Given numbers are 35/380,17/580,248/536

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 35,17,248

Least Common Multiple of Numerators i.e. LCM of 35,17,248 is 147560.

GCF of Denominators means GCF of 380,580,536 as per the given fractions.

GCF of 380,580,536 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,17,248

LCM of Fractions 35/380,17/580,248/536 is 36890

Given numbers has no common factors except 1. So, there LCM is their product i.e 147560

Least Common Multiple of 35,17,248 with GCF Formula

Least Common Multiple of 35,17,248 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 35,17,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,17,248) = 1

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

GCF(35,17,248) x common factors =1 x 1 = 1

LCM(35,17,248) = ( 35 × 17 × 248 ) / 1

LCM(35,17,248) = 147560 / 1

LCM(35,17,248) = 147560


Lets's calculate GCF of 380,580,536

2 380, 580, 536
2 190, 290, 268
95, 145, 134

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147560/4

Therefore the LCM of Fractions 35/380,17/580,248/536 is 36890

Greatest Common Factor of 380,580,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,580,536 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 380,580,536 . The biggest common factor number is the GCF number.
So the greatest common factor 380,580,536 is 4.


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 35/380, 17/580, 248/536

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 35/380, 17/580, 248/536?

Answer: LCM of Numerators as per given numbers 35/380, 17/580, 248/536 is

LCM of Numerators i.e. for 35,17,248 is 147560

GCF of denominators i.e. for 380,580,536 is 4.

Thus, LCM of Fractions is 36890.Finally, LCM of Fractions for 35/380, 17/580, 248/536 is 36890.