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LCM of 143, 288, 248, 506, 736

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


Find the LCM of 143, 288, 248, 506, 736 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 143, 288, 248, 506, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,288,248,506,736

Given numbers are 143,288,248,506,736

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

The LCM of 143,288,248,506,736 is 29364192.

Find LCM of 143,288,248,506,736 with Prime Factorization


2 143, 288, 248, 506, 736
2 143, 144, 124, 253, 368
2 143, 72, 62, 253, 184
2 143, 36, 31, 253, 92
2 143, 18, 31, 253, 46
11 143, 9, 31, 253, 23
23 13, 9, 31, 23, 23
13, 9, 31, 1, 1

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

2 x 2 x 2 x 2 x 2 x 11 x 23 x 13 x 9 x 31 x 1 x 1 = 29364192

Therefore, the lowest common multiple of 143,288,248,506,736 is 29364192.

LCM Formula to Find Lowest Common Multiple of 143,288,248,506,736

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.

143 x 288 x 248 x 506 x 736 = 3803719974912

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.

143 : 1, 11, 13, 143

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,288,248,506,736, is 1.

Now, the common factors can be found like this.

143:11x 13

288:2x 2x 2x 2x 2x 3x 3

248:2x 2x 2x 31

506:2x 11x 23

736:2x 2x 2x 2x 2x 23

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 2x 2x 2x 2x 2x 2x 2x 11x 23 = 129536

Therefore, the value for common factors is 129536.

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 = 3803719974912/(1x129536)

LCM = 3803719974912/129536

LCM = 29364192

Thus, we can understand that the LCM of 143,288,248,506,736 is 29364192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 288, 248, 506, 736

1. What is the LCM of 143, 288, 248, 506, 736?

Answer: LCM of 143, 288, 248, 506, 736 is 29364192.

2. How to calculate the LCM of 143, 288, 248, 506, 736?

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 143, 288, 248, 506, 736.

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}.