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LCM of 506, 112, 136, 807

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


Find the LCM of 506, 112, 136, 807 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 506, 112, 136, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,112,136,807

Given numbers are 506,112,136,807

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

The LCM of 506,112,136,807 is 388741584.

Find LCM of 506,112,136,807 with Prime Factorization


2 506, 112, 136, 807
2 253, 56, 68, 807
2 253, 28, 34, 807
253, 14, 17, 807

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

2 x 2 x 2 x 253 x 14 x 17 x 807 = 388741584

Therefore, the lowest common multiple of 506,112,136,807 is 388741584.

LCM Formula to Find Lowest Common Multiple of 506,112,136,807

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.

506 x 112 x 136 x 807 = 6219865344

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.

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

136 : 1, 2, 4, 8, 17, 34, 68, 136

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,112,136,807, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

112:2x 2x 2x 2x 7

136:2x 2x 2x 17

807:3x 269

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6219865344/(1x16)

LCM = 6219865344/16

LCM = 388741584

Thus, we can understand that the LCM of 506,112,136,807 is 388741584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 112, 136, 807

1. What is the LCM of 506, 112, 136, 807?

Answer: LCM of 506, 112, 136, 807 is 388741584.

2. How to calculate the LCM of 506, 112, 136, 807?

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 506, 112, 136, 807.

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}.