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LCM of 316, 103, 921, 429, 506

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


Find the LCM of 316, 103, 921, 429, 506 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 316, 103, 921, 429, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,103,921,429,506

Given numbers are 316,103,921,429,506

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

The LCM of 316,103,921,429,506 is 98593392612.

Find LCM of 316,103,921,429,506 with Prime Factorization


2 316, 103, 921, 429, 506
3 158, 103, 921, 429, 253
11 158, 103, 307, 143, 253
158, 103, 307, 13, 23

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

2 x 3 x 11 x 158 x 103 x 307 x 13 x 23 = 98593392612

Therefore, the lowest common multiple of 316,103,921,429,506 is 98593392612.

LCM Formula to Find Lowest Common Multiple of 316,103,921,429,506

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.

316 x 103 x 921 x 429 x 506 = 6507163912392

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.

316 : 1, 2, 4, 79, 158, 316

103 : 1, 103

921 : 1, 3, 307, 921

429 : 1, 3, 11, 13, 33, 39, 143, 429

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,103,921,429,506, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

103:103

921:3x 307

429:3x 11x 13

506:2x 11x 23

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 6507163912392/(1x66)

LCM = 6507163912392/66

LCM = 98593392612

Thus, we can understand that the LCM of 316,103,921,429,506 is 98593392612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 103, 921, 429, 506

1. What is the LCM of 316, 103, 921, 429, 506?

Answer: LCM of 316, 103, 921, 429, 506 is 98593392612.

2. How to calculate the LCM of 316, 103, 921, 429, 506?

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 316, 103, 921, 429, 506.

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}.