Least Common Multiple of 45/216, 39/752, 509/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/216, 39/752, 509/488 quickly i.e. 297765/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/216, 39/752, 509/488 is 297765/8.

LCM(45/216, 39/752, 509/488) = 297765/8

LCM of 45/216, 39/752, 509/488

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 45/216,39/752,509/488

Given numbers are 45/216,39/752,509/488

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 45,39,509

Least Common Multiple of Numerators i.e. LCM of 45,39,509 is 297765.

GCF of Denominators means GCF of 216,752,488 as per the given fractions.

GCF of 216,752,488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,39,509

LCM of Fractions 45/216,39/752,509/488 is 297765/8

3 45, 39, 509
15, 13, 509

∴ So the LCM of the given numbers is 3 x 15 x 13 x 509 = 297765

Least Common Multiple of 45,39,509 with GCF Formula

Least Common Multiple of 45,39,509 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 45,39,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,39,509) = 1

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

GCF(45,39,509) x common factors =1 x 3 = 3

LCM(45,39,509) = ( 45 × 39 × 509 ) / 3

LCM(45,39,509) = 893295 / 3

LCM(45,39,509) = 297765


Lets's calculate GCF of 216,752,488

2 216, 752, 488
2 108, 376, 244
2 54, 188, 122
27, 94, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297765/8

Therefore the LCM of Fractions 45/216,39/752,509/488 is 297765/8

Greatest Common Factor of 216,752,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,752,488 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 216,752,488 . The biggest common factor number is the GCF number.
So the greatest common factor 216,752,488 is 8.


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 45/216, 39/752, 509/488

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 45/216, 39/752, 509/488?

Answer: LCM of Numerators as per given numbers 45/216, 39/752, 509/488 is

LCM of Numerators i.e. for 45,39,509 is 297765

GCF of denominators i.e. for 216,752,488 is 8.

Thus, LCM of Fractions is 297765/8.Finally, LCM of Fractions for 45/216, 39/752, 509/488 is 297765/8.