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LCM of 247, 437, 961, 478

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


Find the LCM of 247, 437, 961, 478 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 247, 437, 961, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,437,961,478

Given numbers are 247,437,961,478

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

The LCM of 247,437,961,478 is 2609612798.

Find LCM of 247,437,961,478 with Prime Factorization


19 247, 437, 961, 478
13, 23, 961, 478

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

19 x 13 x 23 x 961 x 478 = 2609612798

Therefore, the lowest common multiple of 247,437,961,478 is 2609612798.

LCM Formula to Find Lowest Common Multiple of 247,437,961,478

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.

247 x 437 x 961 x 478 = 49582643162

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.

247 : 1, 13, 19, 247

437 : 1, 19, 23, 437

961 : 1, 31, 961

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,437,961,478, is 1.

Now, the common factors can be found like this.

247:13x 19

437:19x 23

961:31x 31

478:2x 239

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

19 = 19

Therefore, the value for common factors is 19.

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 = 49582643162/(1x19)

LCM = 49582643162/19

LCM = 2609612798

Thus, we can understand that the LCM of 247,437,961,478 is 2609612798.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 437, 961, 478

1. What is the LCM of 247, 437, 961, 478?

Answer: LCM of 247, 437, 961, 478 is 2609612798.

2. How to calculate the LCM of 247, 437, 961, 478?

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 247, 437, 961, 478.

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}.