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LCM of 926, 684, 676, 193, 803

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


Find the LCM of 926, 684, 676, 193, 803 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, 684, 676, 193, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,684,676,193,803

Given numbers are 926,684,676,193,803

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

The LCM of 926,684,676,193,803 is 8294623000092.

Find LCM of 926,684,676,193,803 with Prime Factorization


2 926, 684, 676, 193, 803
2 463, 342, 338, 193, 803
463, 171, 169, 193, 803

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

2 x 2 x 463 x 171 x 169 x 193 x 803 = 8294623000092

Therefore, the lowest common multiple of 926,684,676,193,803 is 8294623000092.

LCM Formula to Find Lowest Common Multiple of 926,684,676,193,803

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 684 x 676 x 193 x 803 = 66356984000736

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

193 : 1, 193

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,684,676,193,803, is 1.

Now, the common factors can be found like this.

926:2x 463

684:2x 2x 3x 3x 19

676:2x 2x 13x 13

193:193

803:11x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 66356984000736/(1x8)

LCM = 66356984000736/8

LCM = 8294623000092

Thus, we can understand that the LCM of 926,684,676,193,803 is 8294623000092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 684, 676, 193, 803

1. What is the LCM of 926, 684, 676, 193, 803?

Answer: LCM of 926, 684, 676, 193, 803 is 8294623000092.

2. How to calculate the LCM of 926, 684, 676, 193, 803?

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, 684, 676, 193, 803.

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}.