Least Common Multiple of 38/490, 7898/7294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/490, 7898/7294 quickly i.e. 150062/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/490, 7898/7294 is 150062/14.

LCM(38/490, 7898/7294) = 150062/14

LCM of 38/490, 7898/7294

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 38/490,7898/7294

Given numbers are 38/490,7898/7294

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 38,7898

Least Common Multiple of Numerators i.e. LCM of 38,7898 is 150062.

GCF of Denominators means GCF of 490,7294 as per the given fractions.

GCF of 490,7294 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7898

LCM of Fractions 38/490,7898/7294 is 150062/14

2 38, 7898
19, 3949

∴ So the LCM of the given numbers is 2 x 19 x 3949 = 150062

Least Common Multiple of 38,7898 with GCF Formula

Least Common Multiple of 38,7898 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 38,7898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7898) = 2

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

GCF(38,7898) x common factors =2 x 1 = 2

LCM(38,7898) = ( 38 × 7898 ) / 2

LCM(38,7898) = 300124 / 2

LCM(38,7898) = 150062


Lets's calculate GCF of 490,7294

2 490, 7294
7 245, 3647
35, 521

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150062/14

Therefore the LCM of Fractions 38/490,7898/7294 is 150062/14

Greatest Common Factor of 490,7294 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,7294 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 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Greatest Common Factor

We found the factors 490,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 490,7294 is 14.


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 38/490, 7898/7294

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 38/490, 7898/7294?

Answer: LCM of Numerators as per given numbers 38/490, 7898/7294 is

LCM of Numerators i.e. for 38,7898 is 150062

GCF of denominators i.e. for 490,7294 is 14.

Thus, LCM of Fractions is 150062/14.Finally, LCM of Fractions for 38/490, 7898/7294 is 150062/14.