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LCM of 763, 230, 953, 612, 300

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


Find the LCM of 763, 230, 953, 612, 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 763, 230, 953, 612, 300. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,230,953,612,300

Given numbers are 763,230,953,612,300

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

The LCM of 763,230,953,612,300 is 255880214100.

Find LCM of 763,230,953,612,300 with Prime Factorization


2 763, 230, 953, 612, 300
2 763, 115, 953, 306, 150
3 763, 115, 953, 153, 75
5 763, 115, 953, 51, 25
763, 23, 953, 51, 5

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

2 x 2 x 3 x 5 x 763 x 23 x 953 x 51 x 5 = 255880214100

Therefore, the lowest common multiple of 763,230,953,612,300 is 255880214100.

LCM Formula to Find Lowest Common Multiple of 763,230,953,612,300

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.

763 x 230 x 953 x 612 x 300 = 30705625692000

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.

763 : 1, 7, 109, 763

230 : 1, 2, 5, 10, 23, 46, 115, 230

953 : 1, 953

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 763,230,953,612,300, is 1.

Now, the common factors can be found like this.

763:7x 109

230:2x 5x 23

953:953

612:2x 2x 3x 3x 17

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 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 30705625692000/(1x120)

LCM = 30705625692000/120

LCM = 255880214100

Thus, we can understand that the LCM of 763,230,953,612,300 is 255880214100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 230, 953, 612, 300

1. What is the LCM of 763, 230, 953, 612, 300?

Answer: LCM of 763, 230, 953, 612, 300 is 255880214100.

2. How to calculate the LCM of 763, 230, 953, 612, 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 763, 230, 953, 612, 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}.