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LCM of 411, 381, 549, 710, 238

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


Find the LCM of 411, 381, 549, 710, 238 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 411, 381, 549, 710, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,381,549,710,238

Given numbers are 411,381,549,710,238

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

The LCM of 411,381,549,710,238 is 807052788990.

Find LCM of 411,381,549,710,238 with Prime Factorization


2 411, 381, 549, 710, 238
3 411, 381, 549, 355, 119
137, 127, 183, 355, 119

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

2 x 3 x 137 x 127 x 183 x 355 x 119 = 807052788990

Therefore, the lowest common multiple of 411,381,549,710,238 is 807052788990.

LCM Formula to Find Lowest Common Multiple of 411,381,549,710,238

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.

411 x 381 x 549 x 710 x 238 = 14526950201820

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.

411 : 1, 3, 137, 411

381 : 1, 3, 127, 381

549 : 1, 3, 9, 61, 183, 549

710 : 1, 2, 5, 10, 71, 142, 355, 710

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,381,549,710,238, is 1.

Now, the common factors can be found like this.

411:3x 137

381:3x 127

549:3x 3x 61

710:2x 5x 71

238:2x 7x 17

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 3 = 18

Therefore, the value for common factors is 18.

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 = 14526950201820/(1x18)

LCM = 14526950201820/18

LCM = 807052788990

Thus, we can understand that the LCM of 411,381,549,710,238 is 807052788990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 381, 549, 710, 238

1. What is the LCM of 411, 381, 549, 710, 238?

Answer: LCM of 411, 381, 549, 710, 238 is 807052788990.

2. How to calculate the LCM of 411, 381, 549, 710, 238?

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 411, 381, 549, 710, 238.

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}.