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LCM of 393, 111, 767, 506, 544

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


Find the LCM of 393, 111, 767, 506, 544 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 393, 111, 767, 506, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,111,767,506,544

Given numbers are 393,111,767,506,544

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

The LCM of 393,111,767,506,544 is 1535002401504.

Find LCM of 393,111,767,506,544 with Prime Factorization


2 393, 111, 767, 506, 544
3 393, 111, 767, 253, 272
131, 37, 767, 253, 272

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

2 x 3 x 131 x 37 x 767 x 253 x 272 = 1535002401504

Therefore, the lowest common multiple of 393,111,767,506,544 is 1535002401504.

LCM Formula to Find Lowest Common Multiple of 393,111,767,506,544

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.

393 x 111 x 767 x 506 x 544 = 9210014409024

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.

393 : 1, 3, 131, 393

111 : 1, 3, 37, 111

767 : 1, 13, 59, 767

506 : 1, 2, 11, 22, 23, 46, 253, 506

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,111,767,506,544, is 1.

Now, the common factors can be found like this.

393:3x 131

111:3x 37

767:13x 59

506:2x 11x 23

544:2x 2x 2x 2x 2x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9210014409024/(1x6)

LCM = 9210014409024/6

LCM = 1535002401504

Thus, we can understand that the LCM of 393,111,767,506,544 is 1535002401504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 111, 767, 506, 544

1. What is the LCM of 393, 111, 767, 506, 544?

Answer: LCM of 393, 111, 767, 506, 544 is 1535002401504.

2. How to calculate the LCM of 393, 111, 767, 506, 544?

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 393, 111, 767, 506, 544.

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}.