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LCM of 797, 425, 692, 578, 896

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


Find the LCM of 797, 425, 692, 578, 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 797, 425, 692, 578, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,425,692,578,896

Given numbers are 797,425,692,578,896

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

The LCM of 797,425,692,578,896 is 892586441600.

Find LCM of 797,425,692,578,896 with Prime Factorization


2 797, 425, 692, 578, 896
2 797, 425, 346, 289, 448
17 797, 425, 173, 289, 224
797, 25, 173, 17, 224

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

2 x 2 x 17 x 797 x 25 x 173 x 17 x 224 = 892586441600

Therefore, the lowest common multiple of 797,425,692,578,896 is 892586441600.

LCM Formula to Find Lowest Common Multiple of 797,425,692,578,896

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.

797 x 425 x 692 x 578 x 896 = 121391756057600

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.

797 : 1, 797

425 : 1, 5, 17, 25, 85, 425

692 : 1, 2, 4, 173, 346, 692

578 : 1, 2, 17, 34, 289, 578

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 797,425,692,578,896, is 1.

Now, the common factors can be found like this.

797:797

425:5x 5x 17

692:2x 2x 173

578:2x 17x 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 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 121391756057600/(1x136)

LCM = 121391756057600/136

LCM = 892586441600

Thus, we can understand that the LCM of 797,425,692,578,896 is 892586441600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 425, 692, 578, 896

1. What is the LCM of 797, 425, 692, 578, 896?

Answer: LCM of 797, 425, 692, 578, 896 is 892586441600.

2. How to calculate the LCM of 797, 425, 692, 578, 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 797, 425, 692, 578, 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}.