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LCM of 372, 407, 782, 767, 968

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


Find the LCM of 372, 407, 782, 767, 968 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 372, 407, 782, 767, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 372,407,782,767,968

Given numbers are 372,407,782,767,968

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

The LCM of 372,407,782,767,968 is 998923318536.

Find LCM of 372,407,782,767,968 with Prime Factorization


2 372, 407, 782, 767, 968
2 186, 407, 391, 767, 484
11 93, 407, 391, 767, 242
93, 37, 391, 767, 22

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

2 x 2 x 11 x 93 x 37 x 391 x 767 x 22 = 998923318536

Therefore, the lowest common multiple of 372,407,782,767,968 is 998923318536.

LCM Formula to Find Lowest Common Multiple of 372,407,782,767,968

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.

372 x 407 x 782 x 767 x 968 = 87905252031168

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

407 : 1, 11, 37, 407

782 : 1, 2, 17, 23, 34, 46, 391, 782

767 : 1, 13, 59, 767

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,407,782,767,968, is 1.

Now, the common factors can be found like this.

372:2x 2x 3x 31

407:11x 37

782:2x 17x 23

767:13x 59

968:2x 2x 2x 11x 11

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 11 = 88

Therefore, the value for common factors is 88.

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 = 87905252031168/(1x88)

LCM = 87905252031168/88

LCM = 998923318536

Thus, we can understand that the LCM of 372,407,782,767,968 is 998923318536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 372, 407, 782, 767, 968

1. What is the LCM of 372, 407, 782, 767, 968?

Answer: LCM of 372, 407, 782, 767, 968 is 998923318536.

2. How to calculate the LCM of 372, 407, 782, 767, 968?

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 372, 407, 782, 767, 968.

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}.