Least Common Multiple of 50/98, 38/94, 10/66, 71/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/98, 38/94, 10/66, 71/240 quickly i.e. 33725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/98, 38/94, 10/66, 71/240 is 33725.

LCM(50/98, 38/94, 10/66, 71/240) = 33725

LCM of 50/98, 38/94, 10/66, 71/240

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 50/98,38/94,10/66,71/240

Given numbers are 50/98,38/94,10/66,71/240

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 50,38,10,71

Least Common Multiple of Numerators i.e. LCM of 50,38,10,71 is 67450.

GCF of Denominators means GCF of 98,94,66,240 as per the given fractions.

GCF of 98,94,66,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,38,10,71

LCM of Fractions 50/98,38/94,10/66,71/240 is 33725

2 50, 38, 10, 71
5 25, 19, 5, 71
1, 19, 5, 71

∴ So the LCM of the given numbers is 2 x 5 x 1 x 19 x 5 x 71 = 67450

Least Common Multiple of 50,38,10,71 with GCF Formula

Least Common Multiple of 50,38,10,71 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 50,38,10,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,38,10,71) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(50,38,10,71) x common factors =1 x 20 = 20

LCM(50,38,10,71) = ( 50 × 38 × 10 × 71 ) / 20

LCM(50,38,10,71) = 1349000 / 20

LCM(50,38,10,71) = 67450


Lets's calculate GCF of 98,94,66,240

2 98, 94, 66, 240
49, 47, 33, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67450/2

Therefore the LCM of Fractions 50/98,38/94,10/66,71/240 is 33725

Greatest Common Factor of 98,94,66,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,94,66,240 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 98,94,66,240 . The biggest common factor number is the GCF number.
So the greatest common factor 98,94,66,240 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 50/98, 38/94, 10/66, 71/240

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 50/98, 38/94, 10/66, 71/240?

Answer: LCM of Numerators as per given numbers 50/98, 38/94, 10/66, 71/240 is

LCM of Numerators i.e. for 50,38,10,71 is 67450

GCF of denominators i.e. for 98,94,66,240 is 2.

Thus, LCM of Fractions is 33725.Finally, LCM of Fractions for 50/98, 38/94, 10/66, 71/240 is 33725.