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LCM of 738, 953, 463, 799, 148

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


Find the LCM of 738, 953, 463, 799, 148 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 738, 953, 463, 799, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 738,953,463,799,148

Given numbers are 738,953,463,799,148

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

The LCM of 738,953,463,799,148 is 19253458470132.

Find LCM of 738,953,463,799,148 with Prime Factorization


2 738, 953, 463, 799, 148
369, 953, 463, 799, 74

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

2 x 369 x 953 x 463 x 799 x 74 = 19253458470132

Therefore, the lowest common multiple of 738,953,463,799,148 is 19253458470132.

LCM Formula to Find Lowest Common Multiple of 738,953,463,799,148

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.

738 x 953 x 463 x 799 x 148 = 38506916940264

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

953 : 1, 953

463 : 1, 463

799 : 1, 17, 47, 799

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,953,463,799,148, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

953:953

463:463

799:17x 47

148:2x 2x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38506916940264/(1x2)

LCM = 38506916940264/2

LCM = 19253458470132

Thus, we can understand that the LCM of 738,953,463,799,148 is 19253458470132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 738, 953, 463, 799, 148

1. What is the LCM of 738, 953, 463, 799, 148?

Answer: LCM of 738, 953, 463, 799, 148 is 19253458470132.

2. How to calculate the LCM of 738, 953, 463, 799, 148?

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 738, 953, 463, 799, 148.

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}.