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LCM of 240, 602, 506, 989, 322

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


Find the LCM of 240, 602, 506, 989, 322 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 240, 602, 506, 989, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 240,602,506,989,322

Given numbers are 240,602,506,989,322

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

The LCM of 240,602,506,989,322 is 18276720.

Find LCM of 240,602,506,989,322 with Prime Factorization


2 240, 602, 506, 989, 322
7 120, 301, 253, 989, 161
23 120, 43, 253, 989, 23
43 120, 43, 11, 43, 1
120, 1, 11, 1, 1

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

2 x 7 x 23 x 43 x 120 x 1 x 11 x 1 x 1 = 18276720

Therefore, the lowest common multiple of 240,602,506,989,322 is 18276720.

LCM Formula to Find Lowest Common Multiple of 240,602,506,989,322

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.

240 x 602 x 506 x 989 x 322 = 23281470791040

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

602 : 1, 2, 7, 14, 43, 86, 301, 602

506 : 1, 2, 11, 22, 23, 46, 253, 506

989 : 1, 23, 43, 989

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,602,506,989,322, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

602:2x 7x 43

506:2x 11x 23

989:23x 43

322:2x 7x 23

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 7x 23x 23x 43 = 1273832

Therefore, the value for common factors is 1273832.

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 = 23281470791040/(1x1273832)

LCM = 23281470791040/1273832

LCM = 18276720

Thus, we can understand that the LCM of 240,602,506,989,322 is 18276720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 240, 602, 506, 989, 322

1. What is the LCM of 240, 602, 506, 989, 322?

Answer: LCM of 240, 602, 506, 989, 322 is 18276720.

2. How to calculate the LCM of 240, 602, 506, 989, 322?

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 240, 602, 506, 989, 322.

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}.