Least Common Multiple of 584/10, 861/83, 269/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/10, 861/83, 269/388 quickly i.e. 135259656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/10, 861/83, 269/388 is 135259656.

LCM(584/10, 861/83, 269/388) = 135259656

LCM of 584/10, 861/83, 269/388

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 584/10,861/83,269/388

Given numbers are 584/10,861/83,269/388

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 584,861,269

Least Common Multiple of Numerators i.e. LCM of 584,861,269 is 135259656.

GCF of Denominators means GCF of 10,83,388 as per the given fractions.

GCF of 10,83,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,861,269

LCM of Fractions 584/10,861/83,269/388 is 135259656

Given numbers has no common factors except 1. So, there LCM is their product i.e 135259656

Least Common Multiple of 584,861,269 with GCF Formula

Least Common Multiple of 584,861,269 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 584,861,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,861,269) = 1

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

GCF(584,861,269) x common factors =1 x 1 = 1

LCM(584,861,269) = ( 584 × 861 × 269 ) / 1

LCM(584,861,269) = 135259656 / 1

LCM(584,861,269) = 135259656


Lets's calculate GCF of 10,83,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135259656/1

Therefore the LCM of Fractions 584/10,861/83,269/388 is 135259656

Greatest Common Factor of 10,83,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,83,388 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 10,83,388 . The biggest common factor number is the GCF number.
So the greatest common factor 10,83,388 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 584/10, 861/83, 269/388

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 584/10, 861/83, 269/388?

Answer: LCM of Numerators as per given numbers 584/10, 861/83, 269/388 is

LCM of Numerators i.e. for 584,861,269 is 135259656

GCF of denominators i.e. for 10,83,388 is 1.

Thus, LCM of Fractions is 135259656.Finally, LCM of Fractions for 584/10, 861/83, 269/388 is 135259656.