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LCM of 599, 533, 760, 814, 967

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


Find the LCM of 599, 533, 760, 814, 967 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 599, 533, 760, 814, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,533,760,814,967

Given numbers are 599,533,760,814,967

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

The LCM of 599,533,760,814,967 is 95496731381480.

Find LCM of 599,533,760,814,967 with Prime Factorization


2 599, 533, 760, 814, 967
599, 533, 380, 407, 967

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

2 x 599 x 533 x 380 x 407 x 967 = 95496731381480

Therefore, the lowest common multiple of 599,533,760,814,967 is 95496731381480.

LCM Formula to Find Lowest Common Multiple of 599,533,760,814,967

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.

599 x 533 x 760 x 814 x 967 = 190993462762960

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.

599 : 1, 599

533 : 1, 13, 41, 533

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

814 : 1, 2, 11, 22, 37, 74, 407, 814

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,533,760,814,967, is 1.

Now, the common factors can be found like this.

599:599

533:13x 41

760:2x 2x 2x 5x 19

814:2x 11x 37

967:967

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

2 = 2

Therefore, the value for common factors is 2.

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 = 190993462762960/(1x2)

LCM = 190993462762960/2

LCM = 95496731381480

Thus, we can understand that the LCM of 599,533,760,814,967 is 95496731381480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 533, 760, 814, 967

1. What is the LCM of 599, 533, 760, 814, 967?

Answer: LCM of 599, 533, 760, 814, 967 is 95496731381480.

2. How to calculate the LCM of 599, 533, 760, 814, 967?

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 599, 533, 760, 814, 967.

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}.