Least Common Multiple of 9/21, 3/38, 49/74, 85/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/21, 3/38, 49/74, 85/847 quickly i.e. 37485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/21, 3/38, 49/74, 85/847 is 37485.

LCM(9/21, 3/38, 49/74, 85/847) = 37485

LCM of 9/21, 3/38, 49/74, 85/847

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 9/21,3/38,49/74,85/847

Given numbers are 9/21,3/38,49/74,85/847

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 9,3,49,85

Least Common Multiple of Numerators i.e. LCM of 9,3,49,85 is 37485.

GCF of Denominators means GCF of 21,38,74,847 as per the given fractions.

GCF of 21,38,74,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,3,49,85

LCM of Fractions 9/21,3/38,49/74,85/847 is 37485

3 9, 3, 49, 85
3, 1, 49, 85

∴ So the LCM of the given numbers is 3 x 3 x 1 x 49 x 85 = 37485

Least Common Multiple of 9,3,49,85 with GCF Formula

Least Common Multiple of 9,3,49,85 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 9,3,49,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,3,49,85) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(9,3,49,85) x common factors =1 x 3 = 3

LCM(9,3,49,85) = ( 9 × 3 × 49 × 85 ) / 3

LCM(9,3,49,85) = 112455 / 3

LCM(9,3,49,85) = 37485


Lets's calculate GCF of 21,38,74,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37485/1

Therefore the LCM of Fractions 9/21,3/38,49/74,85/847 is 37485

Greatest Common Factor of 21,38,74,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,38,74,847 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 74

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

1,2,37,74

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 21,38,74,847 . The biggest common factor number is the GCF number.
So the greatest common factor 21,38,74,847 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 9/21, 3/38, 49/74, 85/847

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 9/21, 3/38, 49/74, 85/847?

Answer: LCM of Numerators as per given numbers 9/21, 3/38, 49/74, 85/847 is

LCM of Numerators i.e. for 9,3,49,85 is 37485

GCF of denominators i.e. for 21,38,74,847 is 1.

Thus, LCM of Fractions is 37485.Finally, LCM of Fractions for 9/21, 3/38, 49/74, 85/847 is 37485.