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LCM of 671, 610, 959, 511

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


Find the LCM of 671, 610, 959, 511 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 671, 610, 959, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,610,959,511

Given numbers are 671,610,959,511

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

The LCM of 671,610,959,511 is 469746970.

Find LCM of 671,610,959,511 with Prime Factorization


7 671, 610, 959, 511
61 671, 610, 137, 73
11, 10, 137, 73

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

7 x 61 x 11 x 10 x 137 x 73 = 469746970

Therefore, the lowest common multiple of 671,610,959,511 is 469746970.

LCM Formula to Find Lowest Common Multiple of 671,610,959,511

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.

671 x 610 x 959 x 511 = 200581956190

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.

671 : 1, 11, 61, 671

610 : 1, 2, 5, 10, 61, 122, 305, 610

959 : 1, 7, 137, 959

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,610,959,511, is 1.

Now, the common factors can be found like this.

671:11x 61

610:2x 5x 61

959:7x 137

511:7x 73

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

7x 61 = 427

Therefore, the value for common factors is 427.

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 = 200581956190/(1x427)

LCM = 200581956190/427

LCM = 469746970

Thus, we can understand that the LCM of 671,610,959,511 is 469746970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 610, 959, 511

1. What is the LCM of 671, 610, 959, 511?

Answer: LCM of 671, 610, 959, 511 is 469746970.

2. How to calculate the LCM of 671, 610, 959, 511?

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 671, 610, 959, 511.

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}.