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LCM of 784, 969, 476, 306, 802

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


Find the LCM of 784, 969, 476, 306, 802 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 784, 969, 476, 306, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,969,476,306,802

Given numbers are 784,969,476,306,802

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

The LCM of 784,969,476,306,802 is 913914288.

Find LCM of 784,969,476,306,802 with Prime Factorization


2 784, 969, 476, 306, 802
2 392, 969, 238, 153, 401
3 196, 969, 119, 153, 401
7 196, 323, 119, 51, 401
17 28, 323, 17, 51, 401
28, 19, 1, 3, 401

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

2 x 2 x 3 x 7 x 17 x 28 x 19 x 1 x 3 x 401 = 913914288

Therefore, the lowest common multiple of 784,969,476,306,802 is 913914288.

LCM Formula to Find Lowest Common Multiple of 784,969,476,306,802

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.

784 x 969 x 476 x 306 x 802 = 88744733021952

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

969 : 1, 3, 17, 19, 51, 57, 323, 969

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,969,476,306,802, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

969:3x 17x 19

476:2x 2x 7x 17

306:2x 3x 3x 17

802:2x 401

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 2x 3x 7x 17x 17 = 97104

Therefore, the value for common factors is 97104.

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 = 88744733021952/(1x97104)

LCM = 88744733021952/97104

LCM = 913914288

Thus, we can understand that the LCM of 784,969,476,306,802 is 913914288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 784, 969, 476, 306, 802

1. What is the LCM of 784, 969, 476, 306, 802?

Answer: LCM of 784, 969, 476, 306, 802 is 913914288.

2. How to calculate the LCM of 784, 969, 476, 306, 802?

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 784, 969, 476, 306, 802.

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}.