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LCM of 292, 432, 814, 692, 784

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


Find the LCM of 292, 432, 814, 692, 784 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 292, 432, 814, 692, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,432,814,692,784

Given numbers are 292,432,814,692,784

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

The LCM of 292,432,814,692,784 is 108803583504.

Find LCM of 292,432,814,692,784 with Prime Factorization


2 292, 432, 814, 692, 784
2 146, 216, 407, 346, 392
2 73, 108, 407, 173, 196
2 73, 54, 407, 173, 98
73, 27, 407, 173, 49

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

2 x 2 x 2 x 2 x 73 x 27 x 407 x 173 x 49 = 108803583504

Therefore, the lowest common multiple of 292,432,814,692,784 is 108803583504.

LCM Formula to Find Lowest Common Multiple of 292,432,814,692,784

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.

292 x 432 x 814 x 692 x 784 = 55707434754048

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.

292 : 1, 2, 4, 73, 146, 292

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

814 : 1, 2, 11, 22, 37, 74, 407, 814

692 : 1, 2, 4, 173, 346, 692

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,432,814,692,784, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

432:2x 2x 2x 2x 3x 3x 3

814:2x 11x 37

692:2x 2x 173

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

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 55707434754048/(2x256)

LCM = 55707434754048/512

LCM = 108803583504

Thus, we can understand that the LCM of 292,432,814,692,784 is 108803583504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 432, 814, 692, 784

1. What is the LCM of 292, 432, 814, 692, 784?

Answer: LCM of 292, 432, 814, 692, 784 is 108803583504.

2. How to calculate the LCM of 292, 432, 814, 692, 784?

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 292, 432, 814, 692, 784.

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}.