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LCM of 463, 417, 139, 748

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


Find the LCM of 463, 417, 139, 748 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 463, 417, 139, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,417,139,748

Given numbers are 463,417,139,748

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

The LCM of 463,417,139,748 is 144417108.

Find LCM of 463,417,139,748 with Prime Factorization


139 463, 417, 139, 748
463, 3, 1, 748

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

139 x 463 x 3 x 1 x 748 = 144417108

Therefore, the lowest common multiple of 463,417,139,748 is 144417108.

LCM Formula to Find Lowest Common Multiple of 463,417,139,748

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.

463 x 417 x 139 x 748 = 20073978012

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.

463 : 1, 463

417 : 1, 3, 139, 417

139 : 1, 139

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,417,139,748, is 1.

Now, the common factors can be found like this.

463:463

417:3x 139

139:139

748:2x 2x 11x 17

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

139 = 139

Therefore, the value for common factors is 139.

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 = 20073978012/(1x139)

LCM = 20073978012/139

LCM = 144417108

Thus, we can understand that the LCM of 463,417,139,748 is 144417108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 417, 139, 748

1. What is the LCM of 463, 417, 139, 748?

Answer: LCM of 463, 417, 139, 748 is 144417108.

2. How to calculate the LCM of 463, 417, 139, 748?

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 463, 417, 139, 748.

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}.