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LCM of 529, 472, 989, 329, 840

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


Find the LCM of 529, 472, 989, 329, 840 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 529, 472, 989, 329, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,472,989,329,840

Given numbers are 529,472,989,329,840

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

The LCM of 529,472,989,329,840 is 52985042040.

Find LCM of 529,472,989,329,840 with Prime Factorization


2 529, 472, 989, 329, 840
2 529, 236, 989, 329, 420
2 529, 118, 989, 329, 210
7 529, 59, 989, 329, 105
23 529, 59, 989, 47, 15
23, 59, 43, 47, 15

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

2 x 2 x 2 x 7 x 23 x 23 x 59 x 43 x 47 x 15 = 52985042040

Therefore, the lowest common multiple of 529,472,989,329,840 is 52985042040.

LCM Formula to Find Lowest Common Multiple of 529,472,989,329,840

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.

529 x 472 x 989 x 329 x 840 = 68244734147520

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.

529 : 1, 23, 529

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

989 : 1, 23, 43, 989

329 : 1, 7, 47, 329

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,472,989,329,840, is 1.

Now, the common factors can be found like this.

529:23x 23

472:2x 2x 2x 59

989:23x 43

329:7x 47

840:2x 2x 2x 3x 5x 7

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 23 = 1288

Therefore, the value for common factors is 1288.

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 = 68244734147520/(1x1288)

LCM = 68244734147520/1288

LCM = 52985042040

Thus, we can understand that the LCM of 529,472,989,329,840 is 52985042040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 472, 989, 329, 840

1. What is the LCM of 529, 472, 989, 329, 840?

Answer: LCM of 529, 472, 989, 329, 840 is 52985042040.

2. How to calculate the LCM of 529, 472, 989, 329, 840?

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 529, 472, 989, 329, 840.

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}.