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LCM of 778, 507, 442, 119, 964

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


Find the LCM of 778, 507, 442, 119, 964 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 778, 507, 442, 119, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,507,442,119,964

Given numbers are 778,507,442,119,964

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

The LCM of 778,507,442,119,964 is 22624633668.

Find LCM of 778,507,442,119,964 with Prime Factorization


2 778, 507, 442, 119, 964
13 389, 507, 221, 119, 482
17 389, 39, 17, 119, 482
389, 39, 1, 7, 482

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

2 x 13 x 17 x 389 x 39 x 1 x 7 x 482 = 22624633668

Therefore, the lowest common multiple of 778,507,442,119,964 is 22624633668.

LCM Formula to Find Lowest Common Multiple of 778,507,442,119,964

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.

778 x 507 x 442 x 119 x 964 = 20000176162512

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.

778 : 1, 2, 389, 778

507 : 1, 3, 13, 39, 169, 507

442 : 1, 2, 13, 17, 26, 34, 221, 442

119 : 1, 7, 17, 119

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,507,442,119,964, is 1.

Now, the common factors can be found like this.

778:2x 389

507:3x 13x 13

442:2x 13x 17

119:7x 17

964:2x 2x 241

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 20000176162512/(1x884)

LCM = 20000176162512/884

LCM = 22624633668

Thus, we can understand that the LCM of 778,507,442,119,964 is 22624633668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 507, 442, 119, 964

1. What is the LCM of 778, 507, 442, 119, 964?

Answer: LCM of 778, 507, 442, 119, 964 is 22624633668.

2. How to calculate the LCM of 778, 507, 442, 119, 964?

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 778, 507, 442, 119, 964.

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}.