Least Common Multiple of 38/53, 76/85, 71/25, 74/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/53, 76/85, 71/25, 74/696 quickly i.e. 199652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/53, 76/85, 71/25, 74/696 is 199652.

LCM(38/53, 76/85, 71/25, 74/696) = 199652

LCM of 38/53, 76/85, 71/25, 74/696

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 38/53,76/85,71/25,74/696

Given numbers are 38/53,76/85,71/25,74/696

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 38,76,71,74

Least Common Multiple of Numerators i.e. LCM of 38,76,71,74 is 199652.

GCF of Denominators means GCF of 53,85,25,696 as per the given fractions.

GCF of 53,85,25,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,76,71,74

LCM of Fractions 38/53,76/85,71/25,74/696 is 199652

2 38, 76, 71, 74
19 19, 38, 71, 37
1, 2, 71, 37

∴ So the LCM of the given numbers is 2 x 19 x 1 x 2 x 71 x 37 = 199652

Least Common Multiple of 38,76,71,74 with GCF Formula

Least Common Multiple of 38,76,71,74 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 38,76,71,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,76,71,74) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(38,76,71,74) x common factors =1 x 76 = 76

LCM(38,76,71,74) = ( 38 × 76 × 71 × 74 ) / 76

LCM(38,76,71,74) = 15173552 / 76

LCM(38,76,71,74) = 199652


Lets's calculate GCF of 53,85,25,696

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199652/1

Therefore the LCM of Fractions 38/53,76/85,71/25,74/696 is 199652

Greatest Common Factor of 53,85,25,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,85,25,696 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 53,85,25,696 . The biggest common factor number is the GCF number.
So the greatest common factor 53,85,25,696 is 1.


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 38/53, 76/85, 71/25, 74/696

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 38/53, 76/85, 71/25, 74/696?

Answer: LCM of Numerators as per given numbers 38/53, 76/85, 71/25, 74/696 is

LCM of Numerators i.e. for 38,76,71,74 is 199652

GCF of denominators i.e. for 53,85,25,696 is 1.

Thus, LCM of Fractions is 199652.Finally, LCM of Fractions for 38/53, 76/85, 71/25, 74/696 is 199652.