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LCM of 977, 533, 799, 221

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


Find the LCM of 977, 533, 799, 221 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 977, 533, 799, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,533,799,221

Given numbers are 977,533,799,221

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

The LCM of 977,533,799,221 is 416072059.

Find LCM of 977,533,799,221 with Prime Factorization


13 977, 533, 799, 221
17 977, 41, 799, 17
977, 41, 47, 1

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

13 x 17 x 977 x 41 x 47 x 1 = 416072059

Therefore, the lowest common multiple of 977,533,799,221 is 416072059.

LCM Formula to Find Lowest Common Multiple of 977,533,799,221

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.

977 x 533 x 799 x 221 = 91951925039

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.

977 : 1, 977

533 : 1, 13, 41, 533

799 : 1, 17, 47, 799

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,533,799,221, is 1.

Now, the common factors can be found like this.

977:977

533:13x 41

799:17x 47

221:13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 91951925039/(1x221)

LCM = 91951925039/221

LCM = 416072059

Thus, we can understand that the LCM of 977,533,799,221 is 416072059.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 533, 799, 221

1. What is the LCM of 977, 533, 799, 221?

Answer: LCM of 977, 533, 799, 221 is 416072059.

2. How to calculate the LCM of 977, 533, 799, 221?

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 977, 533, 799, 221.

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}.