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LCM of 352, 506, 767, 935, 918

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


Find the LCM of 352, 506, 767, 935, 918 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 352, 506, 767, 935, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,506,767,935,918

Given numbers are 352,506,767,935,918

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

The LCM of 352,506,767,935,918 is 14251105440.

Find LCM of 352,506,767,935,918 with Prime Factorization


2 352, 506, 767, 935, 918
11 176, 253, 767, 935, 459
17 16, 23, 767, 85, 459
16, 23, 767, 5, 27

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

2 x 11 x 17 x 16 x 23 x 767 x 5 x 27 = 14251105440

Therefore, the lowest common multiple of 352,506,767,935,918 is 14251105440.

LCM Formula to Find Lowest Common Multiple of 352,506,767,935,918

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.

352 x 506 x 767 x 935 x 918 = 117258095560320

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

767 : 1, 13, 59, 767

935 : 1, 5, 11, 17, 55, 85, 187, 935

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,506,767,935,918, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

506:2x 11x 23

767:13x 59

935:5x 11x 17

918:2x 3x 3x 3x 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 2x 11x 11x 17 = 8228

Therefore, the value for common factors is 8228.

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 = 117258095560320/(1x8228)

LCM = 117258095560320/8228

LCM = 14251105440

Thus, we can understand that the LCM of 352,506,767,935,918 is 14251105440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 506, 767, 935, 918

1. What is the LCM of 352, 506, 767, 935, 918?

Answer: LCM of 352, 506, 767, 935, 918 is 14251105440.

2. How to calculate the LCM of 352, 506, 767, 935, 918?

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 352, 506, 767, 935, 918.

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}.