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LCM of 783, 533, 767, 998

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


Find the LCM of 783, 533, 767, 998 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 783, 533, 767, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,533,767,998

Given numbers are 783,533,767,998

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

The LCM of 783,533,767,998 is 24573754998.

Find LCM of 783,533,767,998 with Prime Factorization


13 783, 533, 767, 998
783, 41, 59, 998

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

13 x 783 x 41 x 59 x 998 = 24573754998

Therefore, the lowest common multiple of 783,533,767,998 is 24573754998.

LCM Formula to Find Lowest Common Multiple of 783,533,767,998

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.

783 x 533 x 767 x 998 = 319458814974

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

533 : 1, 13, 41, 533

767 : 1, 13, 59, 767

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,533,767,998, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

533:13x 41

767:13x 59

998:2x 499

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

13 = 13

Therefore, the value for common factors is 13.

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 = 319458814974/(1x13)

LCM = 319458814974/13

LCM = 24573754998

Thus, we can understand that the LCM of 783,533,767,998 is 24573754998.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 533, 767, 998

1. What is the LCM of 783, 533, 767, 998?

Answer: LCM of 783, 533, 767, 998 is 24573754998.

2. How to calculate the LCM of 783, 533, 767, 998?

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 783, 533, 767, 998.

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}.