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LCM of 293, 321, 651, 128

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


Find the LCM of 293, 321, 651, 128 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 293, 321, 651, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,321,651,128

Given numbers are 293,321,651,128

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

The LCM of 293,321,651,128 is 2612416128.

Find LCM of 293,321,651,128 with Prime Factorization


3 293, 321, 651, 128
293, 107, 217, 128

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

3 x 293 x 107 x 217 x 128 = 2612416128

Therefore, the lowest common multiple of 293,321,651,128 is 2612416128.

LCM Formula to Find Lowest Common Multiple of 293,321,651,128

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.

293 x 321 x 651 x 128 = 7837248384

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.

293 : 1, 293

321 : 1, 3, 107, 321

651 : 1, 3, 7, 21, 31, 93, 217, 651

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,321,651,128, is 1.

Now, the common factors can be found like this.

293:293

321:3x 107

651:3x 7x 31

128:2x 2x 2x 2x 2x 2x 2

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 7837248384/(1x3)

LCM = 7837248384/3

LCM = 2612416128

Thus, we can understand that the LCM of 293,321,651,128 is 2612416128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 321, 651, 128

1. What is the LCM of 293, 321, 651, 128?

Answer: LCM of 293, 321, 651, 128 is 2612416128.

2. How to calculate the LCM of 293, 321, 651, 128?

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 293, 321, 651, 128.

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}.