Least Common Multiple of 69/650, 99/895, 569/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/650, 99/895, 569/949 quickly i.e. 1295613 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/650, 99/895, 569/949 is 1295613.

LCM(69/650, 99/895, 569/949) = 1295613

LCM of 69/650, 99/895, 569/949

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 69/650,99/895,569/949

Given numbers are 69/650,99/895,569/949

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 69,99,569

Least Common Multiple of Numerators i.e. LCM of 69,99,569 is 1295613.

GCF of Denominators means GCF of 650,895,949 as per the given fractions.

GCF of 650,895,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,99,569

LCM of Fractions 69/650,99/895,569/949 is 1295613

3 69, 99, 569
23, 33, 569

∴ So the LCM of the given numbers is 3 x 23 x 33 x 569 = 1295613

Least Common Multiple of 69,99,569 with GCF Formula

Least Common Multiple of 69,99,569 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 69,99,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,99,569) = 1

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

GCF(69,99,569) x common factors =1 x 3 = 3

LCM(69,99,569) = ( 69 × 99 × 569 ) / 3

LCM(69,99,569) = 3886839 / 3

LCM(69,99,569) = 1295613


Lets's calculate GCF of 650,895,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295613/1

Therefore the LCM of Fractions 69/650,99/895,569/949 is 1295613

Greatest Common Factor of 650,895,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,895,949 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 650,895,949 . The biggest common factor number is the GCF number.
So the greatest common factor 650,895,949 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/650, 99/895, 569/949

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 69/650, 99/895, 569/949?

Answer: LCM of Numerators as per given numbers 69/650, 99/895, 569/949 is

LCM of Numerators i.e. for 69,99,569 is 1295613

GCF of denominators i.e. for 650,895,949 is 1.

Thus, LCM of Fractions is 1295613.Finally, LCM of Fractions for 69/650, 99/895, 569/949 is 1295613.