Least Common Multiple of 69/893, 49/452, 839/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/893, 49/452, 839/584 quickly i.e. 2836659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/893, 49/452, 839/584 is 2836659.

LCM(69/893, 49/452, 839/584) = 2836659

LCM of 69/893, 49/452, 839/584

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 69/893,49/452,839/584

Given numbers are 69/893,49/452,839/584

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 69,49,839

Least Common Multiple of Numerators i.e. LCM of 69,49,839 is 2836659.

GCF of Denominators means GCF of 893,452,584 as per the given fractions.

GCF of 893,452,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,49,839

LCM of Fractions 69/893,49/452,839/584 is 2836659

Given numbers has no common factors except 1. So, there LCM is their product i.e 2836659

Least Common Multiple of 69,49,839 with GCF Formula

Least Common Multiple of 69,49,839 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 69,49,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,49,839) = 1

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

GCF(69,49,839) x common factors =1 x 1 = 1

LCM(69,49,839) = ( 69 × 49 × 839 ) / 1

LCM(69,49,839) = 2836659 / 1

LCM(69,49,839) = 2836659


Lets's calculate GCF of 893,452,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2836659/1

Therefore the LCM of Fractions 69/893,49/452,839/584 is 2836659

Greatest Common Factor of 893,452,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,452,584 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 893,452,584 . The biggest common factor number is the GCF number.
So the greatest common factor 893,452,584 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/893, 49/452, 839/584

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 69/893, 49/452, 839/584?

Answer: LCM of Numerators as per given numbers 69/893, 49/452, 839/584 is

LCM of Numerators i.e. for 69,49,839 is 2836659

GCF of denominators i.e. for 893,452,584 is 1.

Thus, LCM of Fractions is 2836659.Finally, LCM of Fractions for 69/893, 49/452, 839/584 is 2836659.