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LCM of 378, 961, 713, 300

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


Find the LCM of 378, 961, 713, 300 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 378, 961, 713, 300. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 378,961,713,300

Given numbers are 378,961,713,300

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

The LCM of 378,961,713,300 is 417746700.

Find LCM of 378,961,713,300 with Prime Factorization


2 378, 961, 713, 300
3 189, 961, 713, 150
31 63, 961, 713, 50
63, 31, 23, 50

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

2 x 3 x 31 x 63 x 31 x 23 x 50 = 417746700

Therefore, the lowest common multiple of 378,961,713,300 is 417746700.

LCM Formula to Find Lowest Common Multiple of 378,961,713,300

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.

378 x 961 x 713 x 300 = 77700886200

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

961 : 1, 31, 961

713 : 1, 23, 31, 713

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,961,713,300, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

961:31x 31

713:23x 31

300:2x 2x 3x 5x 5

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 31 = 186

Therefore, the value for common factors is 186.

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 = 77700886200/(1x186)

LCM = 77700886200/186

LCM = 417746700

Thus, we can understand that the LCM of 378,961,713,300 is 417746700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 378, 961, 713, 300

1. What is the LCM of 378, 961, 713, 300?

Answer: LCM of 378, 961, 713, 300 is 417746700.

2. How to calculate the LCM of 378, 961, 713, 300?

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 378, 961, 713, 300.

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}.