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LCM of 692, 134, 792, 803, 268

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


Find the LCM of 692, 134, 792, 803, 268 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 692, 134, 792, 803, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,134,792,803,268

Given numbers are 692,134,792,803,268

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

The LCM of 692,134,792,803,268 is 670145256.

Find LCM of 692,134,792,803,268 with Prime Factorization


2 692, 134, 792, 803, 268
2 346, 67, 396, 803, 134
11 173, 67, 198, 803, 67
67 173, 67, 18, 73, 67
173, 1, 18, 73, 1

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

2 x 2 x 11 x 67 x 173 x 1 x 18 x 73 x 1 = 670145256

Therefore, the lowest common multiple of 692,134,792,803,268 is 670145256.

LCM Formula to Find Lowest Common Multiple of 692,134,792,803,268

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.

692 x 134 x 792 x 803 x 268 = 15804705717504

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.

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

134 : 1, 2, 67, 134

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

803 : 1, 11, 73, 803

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,134,792,803,268, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

134:2x 67

792:2x 2x 2x 3x 3x 11

803:11x 73

268:2x 2x 67

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 11x 67 = 23584

Therefore, the value for common factors is 23584.

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 = 15804705717504/(1x23584)

LCM = 15804705717504/23584

LCM = 670145256

Thus, we can understand that the LCM of 692,134,792,803,268 is 670145256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 134, 792, 803, 268

1. What is the LCM of 692, 134, 792, 803, 268?

Answer: LCM of 692, 134, 792, 803, 268 is 670145256.

2. How to calculate the LCM of 692, 134, 792, 803, 268?

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 692, 134, 792, 803, 268.

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}.