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LCM of 699, 944, 346, 517

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


Find the LCM of 699, 944, 346, 517 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 699, 944, 346, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,944,346,517

Given numbers are 699,944,346,517

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

The LCM of 699,944,346,517 is 59018180496.

Find LCM of 699,944,346,517 with Prime Factorization


2 699, 944, 346, 517
699, 472, 173, 517

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

2 x 699 x 472 x 173 x 517 = 59018180496

Therefore, the lowest common multiple of 699,944,346,517 is 59018180496.

LCM Formula to Find Lowest Common Multiple of 699,944,346,517

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.

699 x 944 x 346 x 517 = 118036360992

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.

699 : 1, 3, 233, 699

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

346 : 1, 2, 173, 346

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,944,346,517, is 1.

Now, the common factors can be found like this.

699:3x 233

944:2x 2x 2x 2x 59

346:2x 173

517:11x 47

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 = 118036360992/(1x2)

LCM = 118036360992/2

LCM = 59018180496

Thus, we can understand that the LCM of 699,944,346,517 is 59018180496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 699, 944, 346, 517

1. What is the LCM of 699, 944, 346, 517?

Answer: LCM of 699, 944, 346, 517 is 59018180496.

2. How to calculate the LCM of 699, 944, 346, 517?

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 699, 944, 346, 517.

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}.