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LCM of 730, 159, 536, 982

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


Find the LCM of 730, 159, 536, 982 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 730, 159, 536, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,159,536,982

Given numbers are 730,159,536,982

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

The LCM of 730,159,536,982 is 15273419160.

Find LCM of 730,159,536,982 with Prime Factorization


2 730, 159, 536, 982
365, 159, 268, 491

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

2 x 365 x 159 x 268 x 491 = 15273419160

Therefore, the lowest common multiple of 730,159,536,982 is 15273419160.

LCM Formula to Find Lowest Common Multiple of 730,159,536,982

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.

730 x 159 x 536 x 982 = 61093676640

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

159 : 1, 3, 53, 159

536 : 1, 2, 4, 8, 67, 134, 268, 536

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,159,536,982, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

159:3x 53

536:2x 2x 2x 67

982:2x 491

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61093676640/(1x4)

LCM = 61093676640/4

LCM = 15273419160

Thus, we can understand that the LCM of 730,159,536,982 is 15273419160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 159, 536, 982

1. What is the LCM of 730, 159, 536, 982?

Answer: LCM of 730, 159, 536, 982 is 15273419160.

2. How to calculate the LCM of 730, 159, 536, 982?

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 730, 159, 536, 982.

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}.