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LCM of 386, 744, 686, 752, 964

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


Find the LCM of 386, 744, 686, 752, 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 386, 744, 686, 752, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,744,686,752,964

Given numbers are 386,744,686,752,964

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

The LCM of 386,744,686,752,964 is 1115756076624.

Find LCM of 386,744,686,752,964 with Prime Factorization


2 386, 744, 686, 752, 964
2 193, 372, 343, 376, 482
2 193, 186, 343, 188, 241
193, 93, 343, 94, 241

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

2 x 2 x 2 x 193 x 93 x 343 x 94 x 241 = 1115756076624

Therefore, the lowest common multiple of 386,744,686,752,964 is 1115756076624.

LCM Formula to Find Lowest Common Multiple of 386,744,686,752,964

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.

386 x 744 x 686 x 752 x 964 = 142816777807872

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.

386 : 1, 2, 193, 386

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

686 : 1, 2, 7, 14, 49, 98, 343, 686

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,744,686,752,964, is 2.

Now, the common factors can be found like this.

386:2x 193

744:2x 2x 2x 3x 31

686:2x 7x 7x 7

752:2x 2x 2x 2x 47

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 142816777807872/(2x64)

LCM = 142816777807872/128

LCM = 1115756076624

Thus, we can understand that the LCM of 386,744,686,752,964 is 1115756076624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 744, 686, 752, 964

1. What is the LCM of 386, 744, 686, 752, 964?

Answer: LCM of 386, 744, 686, 752, 964 is 1115756076624.

2. How to calculate the LCM of 386, 744, 686, 752, 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 386, 744, 686, 752, 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}.