Least Common Multiple of 7/28, 1/74, 71/53, 85/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/28, 1/74, 71/53, 85/469 quickly i.e. 42245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/28, 1/74, 71/53, 85/469 is 42245.

LCM(7/28, 1/74, 71/53, 85/469) = 42245

LCM of 7/28, 1/74, 71/53, 85/469

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 7/28,1/74,71/53,85/469

Given numbers are 7/28,1/74,71/53,85/469

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 7,1,71,85

Least Common Multiple of Numerators i.e. LCM of 7,1,71,85 is 42245.

GCF of Denominators means GCF of 28,74,53,469 as per the given fractions.

GCF of 28,74,53,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,1,71,85

LCM of Fractions 7/28,1/74,71/53,85/469 is 42245

Given numbers has no common factors except 1. So, there LCM is their product i.e 42245

Least Common Multiple of 7,1,71,85 with GCF Formula

Least Common Multiple of 7,1,71,85 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 7,1,71,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,1,71,85) = 1

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

GCF(7,1,71,85) x common factors =1 x 1 = 1

LCM(7,1,71,85) = ( 7 × 1 × 71 × 85 ) / 1

LCM(7,1,71,85) = 42245 / 1

LCM(7,1,71,85) = 42245


Lets's calculate GCF of 28,74,53,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42245/1

Therefore the LCM of Fractions 7/28,1/74,71/53,85/469 is 42245

Greatest Common Factor of 28,74,53,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,74,53,469 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 53

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

1,53

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 28,74,53,469 . The biggest common factor number is the GCF number.
So the greatest common factor 28,74,53,469 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 7/28, 1/74, 71/53, 85/469

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 7/28, 1/74, 71/53, 85/469?

Answer: LCM of Numerators as per given numbers 7/28, 1/74, 71/53, 85/469 is

LCM of Numerators i.e. for 7,1,71,85 is 42245

GCF of denominators i.e. for 28,74,53,469 is 1.

Thus, LCM of Fractions is 42245.Finally, LCM of Fractions for 7/28, 1/74, 71/53, 85/469 is 42245.