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LCM of 425, 281, 655, 961, 899

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


Find the LCM of 425, 281, 655, 961, 899 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 425, 281, 655, 961, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 425,281,655,961,899

Given numbers are 425,281,655,961,899

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

The LCM of 425,281,655,961,899 is 436001447575.

Find LCM of 425,281,655,961,899 with Prime Factorization


5 425, 281, 655, 961, 899
31 85, 281, 131, 961, 899
85, 281, 131, 31, 29

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

5 x 31 x 85 x 281 x 131 x 31 x 29 = 436001447575

Therefore, the lowest common multiple of 425,281,655,961,899 is 436001447575.

LCM Formula to Find Lowest Common Multiple of 425,281,655,961,899

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.

425 x 281 x 655 x 961 x 899 = 67580224374125

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.

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

281 : 1, 281

655 : 1, 5, 131, 655

961 : 1, 31, 961

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,281,655,961,899, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

281:281

655:5x 131

961:31x 31

899:29x 31

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

5x 31 = 155

Therefore, the value for common factors is 155.

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 = 67580224374125/(1x155)

LCM = 67580224374125/155

LCM = 436001447575

Thus, we can understand that the LCM of 425,281,655,961,899 is 436001447575.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 425, 281, 655, 961, 899

1. What is the LCM of 425, 281, 655, 961, 899?

Answer: LCM of 425, 281, 655, 961, 899 is 436001447575.

2. How to calculate the LCM of 425, 281, 655, 961, 899?

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 425, 281, 655, 961, 899.

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}.