Least Common Multiple of 1/28, 4/75, 74/49, 38/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/28, 4/75, 74/49, 38/935 quickly i.e. 2812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/28, 4/75, 74/49, 38/935 is 2812.

LCM(1/28, 4/75, 74/49, 38/935) = 2812

LCM of 1/28, 4/75, 74/49, 38/935

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 1/28,4/75,74/49,38/935

Given numbers are 1/28,4/75,74/49,38/935

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 1,4,74,38

Least Common Multiple of Numerators i.e. LCM of 1,4,74,38 is 2812.

GCF of Denominators means GCF of 28,75,49,935 as per the given fractions.

GCF of 28,75,49,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,4,74,38

LCM of Fractions 1/28,4/75,74/49,38/935 is 2812

2 1, 4, 74, 38
1, 2, 37, 19

∴ So the LCM of the given numbers is 2 x 1 x 2 x 37 x 19 = 2812

Least Common Multiple of 1,4,74,38 with GCF Formula

Least Common Multiple of 1,4,74,38 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 1,4,74,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,4,74,38) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(1,4,74,38) x common factors =1 x 4 = 4

LCM(1,4,74,38) = ( 1 × 4 × 74 × 38 ) / 4

LCM(1,4,74,38) = 11248 / 4

LCM(1,4,74,38) = 2812


Lets's calculate GCF of 28,75,49,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2812/1

Therefore the LCM of Fractions 1/28,4/75,74/49,38/935 is 2812

Greatest Common Factor of 28,75,49,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,75,49,935 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 28,75,49,935 . The biggest common factor number is the GCF number.
So the greatest common factor 28,75,49,935 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 1/28, 4/75, 74/49, 38/935

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 1/28, 4/75, 74/49, 38/935?

Answer: LCM of Numerators as per given numbers 1/28, 4/75, 74/49, 38/935 is

LCM of Numerators i.e. for 1,4,74,38 is 2812

GCF of denominators i.e. for 28,75,49,935 is 1.

Thus, LCM of Fractions is 2812.Finally, LCM of Fractions for 1/28, 4/75, 74/49, 38/935 is 2812.