Least Common Multiple of 39/490, 1450/5808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/490, 1450/5808 quickly i.e. 28275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/490, 1450/5808 is 28275.

LCM(39/490, 1450/5808) = 28275

LCM of 39/490, 1450/5808

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 39/490,1450/5808

Given numbers are 39/490,1450/5808

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 39,1450

Least Common Multiple of Numerators i.e. LCM of 39,1450 is 56550.

GCF of Denominators means GCF of 490,5808 as per the given fractions.

GCF of 490,5808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,1450

LCM of Fractions 39/490,1450/5808 is 28275

Given numbers has no common factors except 1. So, there LCM is their product i.e 56550

Least Common Multiple of 39,1450 with GCF Formula

Least Common Multiple of 39,1450 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 39,1450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,1450) = 1

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

GCF(39,1450) x common factors =1 x 1 = 1

LCM(39,1450) = ( 39 × 1450 ) / 1

LCM(39,1450) = 56550 / 1

LCM(39,1450) = 56550


Lets's calculate GCF of 490,5808

2 490, 5808
245, 2904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56550/2

Therefore the LCM of Fractions 39/490,1450/5808 is 28275

Greatest Common Factor of 490,5808 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,5808 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Greatest Common Factor

We found the factors 490,5808 . The biggest common factor number is the GCF number.
So the greatest common factor 490,5808 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 39/490, 1450/5808

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 39/490, 1450/5808?

Answer: LCM of Numerators as per given numbers 39/490, 1450/5808 is

LCM of Numerators i.e. for 39,1450 is 56550

GCF of denominators i.e. for 490,5808 is 2.

Thus, LCM of Fractions is 28275.Finally, LCM of Fractions for 39/490, 1450/5808 is 28275.