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LCM of 926, 695, 278, 964

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


Find the LCM of 926, 695, 278, 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 926, 695, 278, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,695,278,964

Given numbers are 926,695,278,964

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

The LCM of 926,695,278,964 is 310200740.

Find LCM of 926,695,278,964 with Prime Factorization


2 926, 695, 278, 964
139 463, 695, 139, 482
463, 5, 1, 482

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

2 x 139 x 463 x 5 x 1 x 482 = 310200740

Therefore, the lowest common multiple of 926,695,278,964 is 310200740.

LCM Formula to Find Lowest Common Multiple of 926,695,278,964

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.

926 x 695 x 278 x 964 = 172471611440

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.

926 : 1, 2, 463, 926

695 : 1, 5, 139, 695

278 : 1, 2, 139, 278

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 926,695,278,964, is 1.

Now, the common factors can be found like this.

926:2x 463

695:5x 139

278:2x 139

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 139 = 556

Therefore, the value for common factors is 556.

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 = 172471611440/(1x556)

LCM = 172471611440/556

LCM = 310200740

Thus, we can understand that the LCM of 926,695,278,964 is 310200740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 695, 278, 964

1. What is the LCM of 926, 695, 278, 964?

Answer: LCM of 926, 695, 278, 964 is 310200740.

2. How to calculate the LCM of 926, 695, 278, 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 926, 695, 278, 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}.