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LCM of 253, 101, 715, 353, 763

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


Find the LCM of 253, 101, 715, 353, 763 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 253, 101, 715, 353, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,101,715,353,763

Given numbers are 253,101,715,353,763

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

The LCM of 253,101,715,353,763 is 447357265355.

Find LCM of 253,101,715,353,763 with Prime Factorization


11 253, 101, 715, 353, 763
23, 101, 65, 353, 763

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

11 x 23 x 101 x 65 x 353 x 763 = 447357265355

Therefore, the lowest common multiple of 253,101,715,353,763 is 447357265355.

LCM Formula to Find Lowest Common Multiple of 253,101,715,353,763

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.

253 x 101 x 715 x 353 x 763 = 4920929918905

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.

253 : 1, 11, 23, 253

101 : 1, 101

715 : 1, 5, 11, 13, 55, 65, 143, 715

353 : 1, 353

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,101,715,353,763, is 1.

Now, the common factors can be found like this.

253:11x 23

101:101

715:5x 11x 13

353:353

763:7x 109

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

11 = 11

Therefore, the value for common factors is 11.

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 = 4920929918905/(1x11)

LCM = 4920929918905/11

LCM = 447357265355

Thus, we can understand that the LCM of 253,101,715,353,763 is 447357265355.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 101, 715, 353, 763

1. What is the LCM of 253, 101, 715, 353, 763?

Answer: LCM of 253, 101, 715, 353, 763 is 447357265355.

2. How to calculate the LCM of 253, 101, 715, 353, 763?

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 253, 101, 715, 353, 763.

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}.