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LCM of 303, 782, 759, 893, 716

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


Find the LCM of 303, 782, 759, 893, 716 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 303, 782, 759, 893, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,782,759,893,716

Given numbers are 303,782,759,893,716

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

The LCM of 303,782,759,893,716 is 833252359764.

Find LCM of 303,782,759,893,716 with Prime Factorization


2 303, 782, 759, 893, 716
3 303, 391, 759, 893, 358
23 101, 391, 253, 893, 358
101, 17, 11, 893, 358

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

2 x 3 x 23 x 101 x 17 x 11 x 893 x 358 = 833252359764

Therefore, the lowest common multiple of 303,782,759,893,716 is 833252359764.

LCM Formula to Find Lowest Common Multiple of 303,782,759,893,716

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.

303 x 782 x 759 x 893 x 716 = 114988825647432

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.

303 : 1, 3, 101, 303

782 : 1, 2, 17, 23, 34, 46, 391, 782

759 : 1, 3, 11, 23, 33, 69, 253, 759

893 : 1, 19, 47, 893

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,782,759,893,716, is 1.

Now, the common factors can be found like this.

303:3x 101

782:2x 17x 23

759:3x 11x 23

893:19x 47

716:2x 2x 179

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 23 = 138

Therefore, the value for common factors is 138.

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 = 114988825647432/(1x138)

LCM = 114988825647432/138

LCM = 833252359764

Thus, we can understand that the LCM of 303,782,759,893,716 is 833252359764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 782, 759, 893, 716

1. What is the LCM of 303, 782, 759, 893, 716?

Answer: LCM of 303, 782, 759, 893, 716 is 833252359764.

2. How to calculate the LCM of 303, 782, 759, 893, 716?

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 303, 782, 759, 893, 716.

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}.