Least Common Multiple of 949/61, 585/41, 529/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/61, 585/41, 529/532 quickly i.e. 22590945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/61, 585/41, 529/532 is 22590945.

LCM(949/61, 585/41, 529/532) = 22590945

LCM of 949/61, 585/41, 529/532

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 949/61,585/41,529/532

Given numbers are 949/61,585/41,529/532

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 949,585,529

Least Common Multiple of Numerators i.e. LCM of 949,585,529 is 22590945.

GCF of Denominators means GCF of 61,41,532 as per the given fractions.

GCF of 61,41,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,585,529

LCM of Fractions 949/61,585/41,529/532 is 22590945

13 949, 585, 529
73, 45, 529

∴ So the LCM of the given numbers is 13 x 73 x 45 x 529 = 22590945

Least Common Multiple of 949,585,529 with GCF Formula

Least Common Multiple of 949,585,529 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 949,585,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,585,529) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(949,585,529) x common factors =1 x 13 = 13

LCM(949,585,529) = ( 949 × 585 × 529 ) / 13

LCM(949,585,529) = 293682285 / 13

LCM(949,585,529) = 22590945


Lets's calculate GCF of 61,41,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22590945/1

Therefore the LCM of Fractions 949/61,585/41,529/532 is 22590945

Greatest Common Factor of 61,41,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,41,532 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 61,41,532 . The biggest common factor number is the GCF number.
So the greatest common factor 61,41,532 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 949/61, 585/41, 529/532

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 949/61, 585/41, 529/532?

Answer: LCM of Numerators as per given numbers 949/61, 585/41, 529/532 is

LCM of Numerators i.e. for 949,585,529 is 22590945

GCF of denominators i.e. for 61,41,532 is 1.

Thus, LCM of Fractions is 22590945.Finally, LCM of Fractions for 949/61, 585/41, 529/532 is 22590945.