Least Common Multiple of 28/61, 47/91, 32/44, 85/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/61, 47/91, 32/44, 85/435 quickly i.e. 894880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/61, 47/91, 32/44, 85/435 is 894880.

LCM(28/61, 47/91, 32/44, 85/435) = 894880

LCM of 28/61, 47/91, 32/44, 85/435

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 28/61,47/91,32/44,85/435

Given numbers are 28/61,47/91,32/44,85/435

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 28,47,32,85

Least Common Multiple of Numerators i.e. LCM of 28,47,32,85 is 894880.

GCF of Denominators means GCF of 61,91,44,435 as per the given fractions.

GCF of 61,91,44,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,47,32,85

LCM of Fractions 28/61,47/91,32/44,85/435 is 894880

2 28, 47, 32, 85
2 14, 47, 16, 85
7, 47, 8, 85

∴ So the LCM of the given numbers is 2 x 2 x 7 x 47 x 8 x 85 = 894880

Least Common Multiple of 28,47,32,85 with GCF Formula

Least Common Multiple of 28,47,32,85 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 28,47,32,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,47,32,85) = 1

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

GCF(28,47,32,85) x common factors =1 x 4 = 4

LCM(28,47,32,85) = ( 28 × 47 × 32 × 85 ) / 4

LCM(28,47,32,85) = 3579520 / 4

LCM(28,47,32,85) = 894880


Lets's calculate GCF of 61,91,44,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894880/1

Therefore the LCM of Fractions 28/61,47/91,32/44,85/435 is 894880

Greatest Common Factor of 61,91,44,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,91,44,435 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 61,91,44,435 . The biggest common factor number is the GCF number.
So the greatest common factor 61,91,44,435 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 28/61, 47/91, 32/44, 85/435

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 28/61, 47/91, 32/44, 85/435?

Answer: LCM of Numerators as per given numbers 28/61, 47/91, 32/44, 85/435 is

LCM of Numerators i.e. for 28,47,32,85 is 894880

GCF of denominators i.e. for 61,91,44,435 is 1.

Thus, LCM of Fractions is 894880.Finally, LCM of Fractions for 28/61, 47/91, 32/44, 85/435 is 894880.