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LCM of 513, 551, 957, 708, 430

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


Find the LCM of 513, 551, 957, 708, 430 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 513, 551, 957, 708, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,551,957,708,430

Given numbers are 513,551,957,708,430

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

The LCM of 513,551,957,708,430 is 8303448780.

Find LCM of 513,551,957,708,430 with Prime Factorization


2 513, 551, 957, 708, 430
3 513, 551, 957, 354, 215
19 171, 551, 319, 118, 215
29 9, 29, 319, 118, 215
9, 1, 11, 118, 215

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

2 x 3 x 19 x 29 x 9 x 1 x 11 x 118 x 215 = 8303448780

Therefore, the lowest common multiple of 513,551,957,708,430 is 8303448780.

LCM Formula to Find Lowest Common Multiple of 513,551,957,708,430

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.

513 x 551 x 957 x 708 x 430 = 82353605000040

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

551 : 1, 19, 29, 551

957 : 1, 3, 11, 29, 33, 87, 319, 957

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,551,957,708,430, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

551:19x 29

957:3x 11x 29

708:2x 2x 3x 59

430:2x 5x 43

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

2x 3x 3x 19x 29 = 9918

Therefore, the value for common factors is 9918.

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 = 82353605000040/(1x9918)

LCM = 82353605000040/9918

LCM = 8303448780

Thus, we can understand that the LCM of 513,551,957,708,430 is 8303448780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 551, 957, 708, 430

1. What is the LCM of 513, 551, 957, 708, 430?

Answer: LCM of 513, 551, 957, 708, 430 is 8303448780.

2. How to calculate the LCM of 513, 551, 957, 708, 430?

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 513, 551, 957, 708, 430.

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}.