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LCM of 765, 829, 536, 147, 949

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


Find the LCM of 765, 829, 536, 147, 949 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 765, 829, 536, 147, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,829,536,147,949

Given numbers are 765,829,536,147,949

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

The LCM of 765,829,536,147,949 is 15806766863160.

Find LCM of 765,829,536,147,949 with Prime Factorization


3 765, 829, 536, 147, 949
255, 829, 536, 49, 949

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

3 x 255 x 829 x 536 x 49 x 949 = 15806766863160

Therefore, the lowest common multiple of 765,829,536,147,949 is 15806766863160.

LCM Formula to Find Lowest Common Multiple of 765,829,536,147,949

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.

765 x 829 x 536 x 147 x 949 = 47420300589480

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

829 : 1, 829

536 : 1, 2, 4, 8, 67, 134, 268, 536

147 : 1, 3, 7, 21, 49, 147

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,829,536,147,949, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

829:829

536:2x 2x 2x 67

147:3x 7x 7

949:13x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 47420300589480/(1x3)

LCM = 47420300589480/3

LCM = 15806766863160

Thus, we can understand that the LCM of 765,829,536,147,949 is 15806766863160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 829, 536, 147, 949

1. What is the LCM of 765, 829, 536, 147, 949?

Answer: LCM of 765, 829, 536, 147, 949 is 15806766863160.

2. How to calculate the LCM of 765, 829, 536, 147, 949?

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 765, 829, 536, 147, 949.

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}.