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LCM of 919, 772, 431, 221, 896

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


Find the LCM of 919, 772, 431, 221, 896 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 919, 772, 431, 221, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,772,431,221,896

Given numbers are 919,772,431,221,896

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

The LCM of 919,772,431,221,896 is 15137368168832.

Find LCM of 919,772,431,221,896 with Prime Factorization


2 919, 772, 431, 221, 896
2 919, 386, 431, 221, 448
919, 193, 431, 221, 224

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

2 x 2 x 919 x 193 x 431 x 221 x 224 = 15137368168832

Therefore, the lowest common multiple of 919,772,431,221,896 is 15137368168832.

LCM Formula to Find Lowest Common Multiple of 919,772,431,221,896

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.

919 x 772 x 431 x 221 x 896 = 60549472675328

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.

919 : 1, 919

772 : 1, 2, 4, 193, 386, 772

431 : 1, 431

221 : 1, 13, 17, 221

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,772,431,221,896, is 1.

Now, the common factors can be found like this.

919:919

772:2x 2x 193

431:431

221:13x 17

896:2x 2x 2x 2x 2x 2x 2x 7

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 = 60549472675328/(1x4)

LCM = 60549472675328/4

LCM = 15137368168832

Thus, we can understand that the LCM of 919,772,431,221,896 is 15137368168832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 772, 431, 221, 896

1. What is the LCM of 919, 772, 431, 221, 896?

Answer: LCM of 919, 772, 431, 221, 896 is 15137368168832.

2. How to calculate the LCM of 919, 772, 431, 221, 896?

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 919, 772, 431, 221, 896.

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}.