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LCM of 802, 767, 106, 387

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


Find the LCM of 802, 767, 106, 387 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 802, 767, 106, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,767,106,387

Given numbers are 802,767,106,387

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

The LCM of 802,767,106,387 is 12617013474.

Find LCM of 802,767,106,387 with Prime Factorization


2 802, 767, 106, 387
401, 767, 53, 387

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

2 x 401 x 767 x 53 x 387 = 12617013474

Therefore, the lowest common multiple of 802,767,106,387 is 12617013474.

LCM Formula to Find Lowest Common Multiple of 802,767,106,387

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.

802 x 767 x 106 x 387 = 25234026948

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.

802 : 1, 2, 401, 802

767 : 1, 13, 59, 767

106 : 1, 2, 53, 106

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,767,106,387, is 1.

Now, the common factors can be found like this.

802:2x 401

767:13x 59

106:2x 53

387:3x 3x 43

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 = 25234026948/(1x2)

LCM = 25234026948/2

LCM = 12617013474

Thus, we can understand that the LCM of 802,767,106,387 is 12617013474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 767, 106, 387

1. What is the LCM of 802, 767, 106, 387?

Answer: LCM of 802, 767, 106, 387 is 12617013474.

2. How to calculate the LCM of 802, 767, 106, 387?

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 802, 767, 106, 387.

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}.