Least Common Multiple of 91/824, 527/28, 509/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/824, 527/28, 509/950 quickly i.e. 24410113/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/824, 527/28, 509/950 is 24410113/2.

LCM(91/824, 527/28, 509/950) = 24410113/2

LCM of 91/824, 527/28, 509/950

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 91/824,527/28,509/950

Given numbers are 91/824,527/28,509/950

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 91,527,509

Least Common Multiple of Numerators i.e. LCM of 91,527,509 is 24410113.

GCF of Denominators means GCF of 824,28,950 as per the given fractions.

GCF of 824,28,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,527,509

LCM of Fractions 91/824,527/28,509/950 is 24410113/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 24410113

Least Common Multiple of 91,527,509 with GCF Formula

Least Common Multiple of 91,527,509 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 91,527,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,527,509) = 1

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

GCF(91,527,509) x common factors =1 x 1 = 1

LCM(91,527,509) = ( 91 × 527 × 509 ) / 1

LCM(91,527,509) = 24410113 / 1

LCM(91,527,509) = 24410113


Lets's calculate GCF of 824,28,950

2 824, 28, 950
412, 14, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24410113/2

Therefore the LCM of Fractions 91/824,527/28,509/950 is 24410113/2

Greatest Common Factor of 824,28,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,28,950 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 28

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

1,2,4,7,14,28

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 824,28,950 . The biggest common factor number is the GCF number.
So the greatest common factor 824,28,950 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/824, 527/28, 509/950

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 91/824, 527/28, 509/950?

Answer: LCM of Numerators as per given numbers 91/824, 527/28, 509/950 is

LCM of Numerators i.e. for 91,527,509 is 24410113

GCF of denominators i.e. for 824,28,950 is 2.

Thus, LCM of Fractions is 24410113/2.Finally, LCM of Fractions for 91/824, 527/28, 509/950 is 24410113/2.