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LCM of 176, 253, 704, 248, 507

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


Find the LCM of 176, 253, 704, 248, 507 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 176, 253, 704, 248, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 176,253,704,248,507

Given numbers are 176,253,704,248,507

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

The LCM of 176,253,704,248,507 is 254489664.

Find LCM of 176,253,704,248,507 with Prime Factorization


2 176, 253, 704, 248, 507
2 88, 253, 352, 124, 507
2 44, 253, 176, 62, 507
2 22, 253, 88, 31, 507
11 11, 253, 44, 31, 507
1, 23, 4, 31, 507

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

2 x 2 x 2 x 2 x 11 x 1 x 23 x 4 x 31 x 507 = 254489664

Therefore, the lowest common multiple of 176,253,704,248,507 is 254489664.

LCM Formula to Find Lowest Common Multiple of 176,253,704,248,507

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.

176 x 253 x 704 x 248 x 507 = 3941535916032

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.

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

253 : 1, 11, 23, 253

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

248 : 1, 2, 4, 8, 31, 62, 124, 248

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,253,704,248,507, is 1.

Now, the common factors can be found like this.

176:2x 2x 2x 2x 11

253:11x 23

704:2x 2x 2x 2x 2x 2x 11

248:2x 2x 2x 31

507:3x 13x 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 2x 2x 2x 2x 2x 11x 11 = 15488

Therefore, the value for common factors is 15488.

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 = 3941535916032/(1x15488)

LCM = 3941535916032/15488

LCM = 254489664

Thus, we can understand that the LCM of 176,253,704,248,507 is 254489664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 176, 253, 704, 248, 507

1. What is the LCM of 176, 253, 704, 248, 507?

Answer: LCM of 176, 253, 704, 248, 507 is 254489664.

2. How to calculate the LCM of 176, 253, 704, 248, 507?

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 176, 253, 704, 248, 507.

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}.