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LCM of 493, 715, 740, 252, 919

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


Find the LCM of 493, 715, 740, 252, 919 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 493, 715, 740, 252, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,715,740,252,919

Given numbers are 493,715,740,252,919

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

The LCM of 493,715,740,252,919 is 3020443646220.

Find LCM of 493,715,740,252,919 with Prime Factorization


2 493, 715, 740, 252, 919
2 493, 715, 370, 126, 919
5 493, 715, 185, 63, 919
493, 143, 37, 63, 919

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

2 x 2 x 5 x 493 x 143 x 37 x 63 x 919 = 3020443646220

Therefore, the lowest common multiple of 493,715,740,252,919 is 3020443646220.

LCM Formula to Find Lowest Common Multiple of 493,715,740,252,919

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.

493 x 715 x 740 x 252 x 919 = 60408872924400

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.

493 : 1, 17, 29, 493

715 : 1, 5, 11, 13, 55, 65, 143, 715

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,715,740,252,919, is 1.

Now, the common factors can be found like this.

493:17x 29

715:5x 11x 13

740:2x 2x 5x 37

252:2x 2x 3x 3x 7

919:919

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 60408872924400/(1x20)

LCM = 60408872924400/20

LCM = 3020443646220

Thus, we can understand that the LCM of 493,715,740,252,919 is 3020443646220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 715, 740, 252, 919

1. What is the LCM of 493, 715, 740, 252, 919?

Answer: LCM of 493, 715, 740, 252, 919 is 3020443646220.

2. How to calculate the LCM of 493, 715, 740, 252, 919?

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 493, 715, 740, 252, 919.

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}.