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LCM of 152, 537, 931, 281

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


Find the LCM of 152, 537, 931, 281 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 152, 537, 931, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,537,931,281

Given numbers are 152,537,931,281

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

The LCM of 152,537,931,281 is 1123880856.

Find LCM of 152,537,931,281 with Prime Factorization


19 152, 537, 931, 281
8, 537, 49, 281

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

19 x 8 x 537 x 49 x 281 = 1123880856

Therefore, the lowest common multiple of 152,537,931,281 is 1123880856.

LCM Formula to Find Lowest Common Multiple of 152,537,931,281

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.

152 x 537 x 931 x 281 = 21353736264

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

537 : 1, 3, 179, 537

931 : 1, 7, 19, 49, 133, 931

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,537,931,281, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

537:3x 179

931:7x 7x 19

281:281

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

19 = 19

Therefore, the value for common factors is 19.

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 = 21353736264/(1x19)

LCM = 21353736264/19

LCM = 1123880856

Thus, we can understand that the LCM of 152,537,931,281 is 1123880856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 537, 931, 281

1. What is the LCM of 152, 537, 931, 281?

Answer: LCM of 152, 537, 931, 281 is 1123880856.

2. How to calculate the LCM of 152, 537, 931, 281?

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 152, 537, 931, 281.

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}.