Least Common Multiple of 145/486, 582/490, 584/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/486, 582/490, 584/765 quickly i.e. 24641880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/486, 582/490, 584/765 is 24641880.

LCM(145/486, 582/490, 584/765) = 24641880

LCM of 145/486, 582/490, 584/765

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 145/486,582/490,584/765

Given numbers are 145/486,582/490,584/765

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 145,582,584

Least Common Multiple of Numerators i.e. LCM of 145,582,584 is 24641880.

GCF of Denominators means GCF of 486,490,765 as per the given fractions.

GCF of 486,490,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,582,584

LCM of Fractions 145/486,582/490,584/765 is 24641880

2 145, 582, 584
145, 291, 292

∴ So the LCM of the given numbers is 2 x 145 x 291 x 292 = 24641880

Least Common Multiple of 145,582,584 with GCF Formula

Least Common Multiple of 145,582,584 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 145,582,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,582,584) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(145,582,584) x common factors =1 x 2 = 2

LCM(145,582,584) = ( 145 × 582 × 584 ) / 2

LCM(145,582,584) = 49283760 / 2

LCM(145,582,584) = 24641880


Lets's calculate GCF of 486,490,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24641880/1

Therefore the LCM of Fractions 145/486,582/490,584/765 is 24641880

Greatest Common Factor of 486,490,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,490,765 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 486,490,765 . The biggest common factor number is the GCF number.
So the greatest common factor 486,490,765 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 145/486, 582/490, 584/765

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 145/486, 582/490, 584/765?

Answer: LCM of Numerators as per given numbers 145/486, 582/490, 584/765 is

LCM of Numerators i.e. for 145,582,584 is 24641880

GCF of denominators i.e. for 486,490,765 is 1.

Thus, LCM of Fractions is 24641880.Finally, LCM of Fractions for 145/486, 582/490, 584/765 is 24641880.