Least Common Multiple of 804/807, 528/950, 613/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/807, 528/950, 613/614 quickly i.e. 21685488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/807, 528/950, 613/614 is 21685488.

LCM(804/807, 528/950, 613/614) = 21685488

LCM of 804/807, 528/950, 613/614

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 804/807,528/950,613/614

Given numbers are 804/807,528/950,613/614

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 804,528,613

Least Common Multiple of Numerators i.e. LCM of 804,528,613 is 21685488.

GCF of Denominators means GCF of 807,950,614 as per the given fractions.

GCF of 807,950,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,528,613

LCM of Fractions 804/807,528/950,613/614 is 21685488

2 804, 528, 613
2 402, 264, 613
3 201, 132, 613
67, 44, 613

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 44 x 613 = 21685488

Least Common Multiple of 804,528,613 with GCF Formula

Least Common Multiple of 804,528,613 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 804,528,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,528,613) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(804,528,613) x common factors =1 x 12 = 12

LCM(804,528,613) = ( 804 × 528 × 613 ) / 12

LCM(804,528,613) = 260225856 / 12

LCM(804,528,613) = 21685488


Lets's calculate GCF of 807,950,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21685488/1

Therefore the LCM of Fractions 804/807,528/950,613/614 is 21685488

Greatest Common Factor of 807,950,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,950,614 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

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

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 807,950,614 . The biggest common factor number is the GCF number.
So the greatest common factor 807,950,614 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 804/807, 528/950, 613/614

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 804/807, 528/950, 613/614?

Answer: LCM of Numerators as per given numbers 804/807, 528/950, 613/614 is

LCM of Numerators i.e. for 804,528,613 is 21685488

GCF of denominators i.e. for 807,950,614 is 1.

Thus, LCM of Fractions is 21685488.Finally, LCM of Fractions for 804/807, 528/950, 613/614 is 21685488.