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LCM of 314, 328, 103, 452, 273

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


Find the LCM of 314, 328, 103, 452, 273 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 314, 328, 103, 452, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,328,103,452,273

Given numbers are 314,328,103,452,273

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

The LCM of 314,328,103,452,273 is 163625810712.

Find LCM of 314,328,103,452,273 with Prime Factorization


2 314, 328, 103, 452, 273
2 157, 164, 103, 226, 273
157, 82, 103, 113, 273

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

2 x 2 x 157 x 82 x 103 x 113 x 273 = 163625810712

Therefore, the lowest common multiple of 314,328,103,452,273 is 163625810712.

LCM Formula to Find Lowest Common Multiple of 314,328,103,452,273

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.

314 x 328 x 103 x 452 x 273 = 1309006485696

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.

314 : 1, 2, 157, 314

328 : 1, 2, 4, 8, 41, 82, 164, 328

103 : 1, 103

452 : 1, 2, 4, 113, 226, 452

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,328,103,452,273, is 1.

Now, the common factors can be found like this.

314:2x 157

328:2x 2x 2x 41

103:103

452:2x 2x 113

273:3x 7x 13

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 = 1309006485696/(1x8)

LCM = 1309006485696/8

LCM = 163625810712

Thus, we can understand that the LCM of 314,328,103,452,273 is 163625810712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 328, 103, 452, 273

1. What is the LCM of 314, 328, 103, 452, 273?

Answer: LCM of 314, 328, 103, 452, 273 is 163625810712.

2. How to calculate the LCM of 314, 328, 103, 452, 273?

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 314, 328, 103, 452, 273.

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}.