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LCM of 308, 102, 374, 765

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


Find the LCM of 308, 102, 374, 765 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 308, 102, 374, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,102,374,765

Given numbers are 308,102,374,765

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

The LCM of 308,102,374,765 is 235620.

Find LCM of 308,102,374,765 with Prime Factorization


2 308, 102, 374, 765
3 154, 51, 187, 765
11 154, 17, 187, 255
17 14, 17, 17, 255
14, 1, 1, 15

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

2 x 3 x 11 x 17 x 14 x 1 x 1 x 15 = 235620

Therefore, the lowest common multiple of 308,102,374,765 is 235620.

LCM Formula to Find Lowest Common Multiple of 308,102,374,765

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.

308 x 102 x 374 x 765 = 8988431760

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

102 : 1, 2, 3, 6, 17, 34, 51, 102

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,102,374,765, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

102:2x 3x 17

374:2x 11x 17

765:3x 3x 5x 17

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 3x 11x 17x 17 = 38148

Therefore, the value for common factors is 38148.

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 = 8988431760/(1x38148)

LCM = 8988431760/38148

LCM = 235620

Thus, we can understand that the LCM of 308,102,374,765 is 235620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 102, 374, 765

1. What is the LCM of 308, 102, 374, 765?

Answer: LCM of 308, 102, 374, 765 is 235620.

2. How to calculate the LCM of 308, 102, 374, 765?

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 308, 102, 374, 765.

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}.