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LCM of 383, 354, 698, 724, 763

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


Find the LCM of 383, 354, 698, 724, 763 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 383, 354, 698, 724, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,354,698,724,763

Given numbers are 383,354,698,724,763

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

The LCM of 383,354,698,724,763 is 13069548100308.

Find LCM of 383,354,698,724,763 with Prime Factorization


2 383, 354, 698, 724, 763
383, 177, 349, 362, 763

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

2 x 383 x 177 x 349 x 362 x 763 = 13069548100308

Therefore, the lowest common multiple of 383,354,698,724,763 is 13069548100308.

LCM Formula to Find Lowest Common Multiple of 383,354,698,724,763

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.

383 x 354 x 698 x 724 x 763 = 52278192401232

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.

383 : 1, 383

354 : 1, 2, 3, 6, 59, 118, 177, 354

698 : 1, 2, 349, 698

724 : 1, 2, 4, 181, 362, 724

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,354,698,724,763, is 1.

Now, the common factors can be found like this.

383:383

354:2x 3x 59

698:2x 349

724:2x 2x 181

763:7x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 52278192401232/(1x4)

LCM = 52278192401232/4

LCM = 13069548100308

Thus, we can understand that the LCM of 383,354,698,724,763 is 13069548100308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 354, 698, 724, 763

1. What is the LCM of 383, 354, 698, 724, 763?

Answer: LCM of 383, 354, 698, 724, 763 is 13069548100308.

2. How to calculate the LCM of 383, 354, 698, 724, 763?

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 383, 354, 698, 724, 763.

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}.