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LCM of 703, 331, 893, 350, 566

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


Find the LCM of 703, 331, 893, 350, 566 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 703, 331, 893, 350, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,331,893,350,566

Given numbers are 703,331,893,350,566

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

The LCM of 703,331,893,350,566 is 1083267357550.

Find LCM of 703,331,893,350,566 with Prime Factorization


2 703, 331, 893, 350, 566
19 703, 331, 893, 175, 283
37, 331, 47, 175, 283

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

2 x 19 x 37 x 331 x 47 x 175 x 283 = 1083267357550

Therefore, the lowest common multiple of 703,331,893,350,566 is 1083267357550.

LCM Formula to Find Lowest Common Multiple of 703,331,893,350,566

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.

703 x 331 x 893 x 350 x 566 = 41164159586900

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.

703 : 1, 19, 37, 703

331 : 1, 331

893 : 1, 19, 47, 893

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,331,893,350,566, is 1.

Now, the common factors can be found like this.

703:19x 37

331:331

893:19x 47

350:2x 5x 5x 7

566:2x 283

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 41164159586900/(1x38)

LCM = 41164159586900/38

LCM = 1083267357550

Thus, we can understand that the LCM of 703,331,893,350,566 is 1083267357550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 331, 893, 350, 566

1. What is the LCM of 703, 331, 893, 350, 566?

Answer: LCM of 703, 331, 893, 350, 566 is 1083267357550.

2. How to calculate the LCM of 703, 331, 893, 350, 566?

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 703, 331, 893, 350, 566.

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}.