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LCM of 390, 547, 949, 706, 353

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 390, 547, 949, 706, 353 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 390, 547, 949, 706, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,547,949,706,353

Given numbers are 390,547,949,706,353

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 390,547,949,706,353 is 5497300770.

Find LCM of 390,547,949,706,353 with Prime Factorization


2 390, 547, 949, 706, 353
13 195, 547, 949, 353, 353
353 15, 547, 73, 353, 353
15, 547, 73, 1, 1

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 353 x 15 x 547 x 73 x 1 x 1 = 5497300770

Therefore, the lowest common multiple of 390,547,949,706,353 is 5497300770.

LCM Formula to Find Lowest Common Multiple of 390,547,949,706,353

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

390 x 547 x 949 x 706 x 353 = 50454226467060

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

547 : 1, 547

949 : 1, 13, 73, 949

706 : 1, 2, 353, 706

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,547,949,706,353, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

547:547

949:13x 73

706:2x 353

353:353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 353 = 9178

Therefore, the value for common factors is 9178.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 50454226467060/(1x9178)

LCM = 50454226467060/9178

LCM = 5497300770

Thus, we can understand that the LCM of 390,547,949,706,353 is 5497300770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 547, 949, 706, 353

1. What is the LCM of 390, 547, 949, 706, 353?

Answer: LCM of 390, 547, 949, 706, 353 is 5497300770.

2. How to calculate the LCM of 390, 547, 949, 706, 353?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 390, 547, 949, 706, 353.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.