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LCM of 303, 475, 758, 157, 676

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


Find the LCM of 303, 475, 758, 157, 676 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, 475, 758, 157, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,475,758,157,676

Given numbers are 303,475,758,157,676

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

The LCM of 303,475,758,157,676 is 5789243229900.

Find LCM of 303,475,758,157,676 with Prime Factorization


2 303, 475, 758, 157, 676
303, 475, 379, 157, 338

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

2 x 303 x 475 x 379 x 157 x 338 = 5789243229900

Therefore, the lowest common multiple of 303,475,758,157,676 is 5789243229900.

LCM Formula to Find Lowest Common Multiple of 303,475,758,157,676

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 475 x 758 x 157 x 676 = 11578486459800

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

475 : 1, 5, 19, 25, 95, 475

758 : 1, 2, 379, 758

157 : 1, 157

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,475,758,157,676, is 1.

Now, the common factors can be found like this.

303:3x 101

475:5x 5x 19

758:2x 379

157:157

676:2x 2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11578486459800/(1x2)

LCM = 11578486459800/2

LCM = 5789243229900

Thus, we can understand that the LCM of 303,475,758,157,676 is 5789243229900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 475, 758, 157, 676

1. What is the LCM of 303, 475, 758, 157, 676?

Answer: LCM of 303, 475, 758, 157, 676 is 5789243229900.

2. How to calculate the LCM of 303, 475, 758, 157, 676?

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, 475, 758, 157, 676.

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}.