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LCM of 272, 145, 926, 386

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


Find the LCM of 272, 145, 926, 386 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 272, 145, 926, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,145,926,386

Given numbers are 272,145,926,386

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

The LCM of 272,145,926,386 is 3524318960.

Find LCM of 272,145,926,386 with Prime Factorization


2 272, 145, 926, 386
136, 145, 463, 193

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

2 x 136 x 145 x 463 x 193 = 3524318960

Therefore, the lowest common multiple of 272,145,926,386 is 3524318960.

LCM Formula to Find Lowest Common Multiple of 272,145,926,386

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.

272 x 145 x 926 x 386 = 14097275840

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

145 : 1, 5, 29, 145

926 : 1, 2, 463, 926

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,145,926,386, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

145:5x 29

926:2x 463

386:2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14097275840/(1x4)

LCM = 14097275840/4

LCM = 3524318960

Thus, we can understand that the LCM of 272,145,926,386 is 3524318960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 145, 926, 386

1. What is the LCM of 272, 145, 926, 386?

Answer: LCM of 272, 145, 926, 386 is 3524318960.

2. How to calculate the LCM of 272, 145, 926, 386?

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 272, 145, 926, 386.

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}.