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LCM of 340, 805, 974, 748, 520

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


Find the LCM of 340, 805, 974, 748, 520 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 340, 805, 974, 748, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,805,974,748,520

Given numbers are 340,805,974,748,520

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

The LCM of 340,805,974,748,520 is 7624296680.

Find LCM of 340,805,974,748,520 with Prime Factorization


2 340, 805, 974, 748, 520
2 170, 805, 487, 374, 260
5 85, 805, 487, 187, 130
17 17, 161, 487, 187, 26
1, 161, 487, 11, 26

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

2 x 2 x 5 x 17 x 1 x 161 x 487 x 11 x 26 = 7624296680

Therefore, the lowest common multiple of 340,805,974,748,520 is 7624296680.

LCM Formula to Find Lowest Common Multiple of 340,805,974,748,520

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.

340 x 805 x 974 x 748 x 520 = 103690434848000

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

805 : 1, 5, 7, 23, 35, 115, 161, 805

974 : 1, 2, 487, 974

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,805,974,748,520, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

805:5x 7x 23

974:2x 487

748:2x 2x 11x 17

520:2x 2x 2x 5x 13

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 2x 2x 2x 5x 5x 17 = 13600

Therefore, the value for common factors is 13600.

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 = 103690434848000/(1x13600)

LCM = 103690434848000/13600

LCM = 7624296680

Thus, we can understand that the LCM of 340,805,974,748,520 is 7624296680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 805, 974, 748, 520

1. What is the LCM of 340, 805, 974, 748, 520?

Answer: LCM of 340, 805, 974, 748, 520 is 7624296680.

2. How to calculate the LCM of 340, 805, 974, 748, 520?

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 340, 805, 974, 748, 520.

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}.