Least Common Multiple of 352/530, 553/487, 544/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/530, 553/487, 544/663 quickly i.e. 3309152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/530, 553/487, 544/663 is 3309152.

LCM(352/530, 553/487, 544/663) = 3309152

LCM of 352/530, 553/487, 544/663

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 352/530,553/487,544/663

Given numbers are 352/530,553/487,544/663

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 352,553,544

Least Common Multiple of Numerators i.e. LCM of 352,553,544 is 3309152.

GCF of Denominators means GCF of 530,487,663 as per the given fractions.

GCF of 530,487,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,553,544

LCM of Fractions 352/530,553/487,544/663 is 3309152

2 352, 553, 544
2 176, 553, 272
2 88, 553, 136
2 44, 553, 68
2 22, 553, 34
11, 553, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 553 x 17 = 3309152

Least Common Multiple of 352,553,544 with GCF Formula

Least Common Multiple of 352,553,544 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 352,553,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,553,544) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(352,553,544) x common factors =1 x 32 = 32

LCM(352,553,544) = ( 352 × 553 × 544 ) / 32

LCM(352,553,544) = 105892864 / 32

LCM(352,553,544) = 3309152


Lets's calculate GCF of 530,487,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3309152/1

Therefore the LCM of Fractions 352/530,553/487,544/663 is 3309152

Greatest Common Factor of 530,487,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,487,663 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 530,487,663 . The biggest common factor number is the GCF number.
So the greatest common factor 530,487,663 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 352/530, 553/487, 544/663

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 352/530, 553/487, 544/663?

Answer: LCM of Numerators as per given numbers 352/530, 553/487, 544/663 is

LCM of Numerators i.e. for 352,553,544 is 3309152

GCF of denominators i.e. for 530,487,663 is 1.

Thus, LCM of Fractions is 3309152.Finally, LCM of Fractions for 352/530, 553/487, 544/663 is 3309152.