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LCM of 365, 465, 372, 758

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


Find the LCM of 365, 465, 372, 758 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 365, 465, 372, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,465,372,758

Given numbers are 365,465,372,758

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

The LCM of 365,465,372,758 is 51460620.

Find LCM of 365,465,372,758 with Prime Factorization


2 365, 465, 372, 758
3 365, 465, 186, 379
5 365, 155, 62, 379
31 73, 31, 62, 379
73, 1, 2, 379

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

2 x 3 x 5 x 31 x 73 x 1 x 2 x 379 = 51460620

Therefore, the lowest common multiple of 365,465,372,758 is 51460620.

LCM Formula to Find Lowest Common Multiple of 365,465,372,758

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.

365 x 465 x 372 x 758 = 47858376600

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.

365 : 1, 5, 73, 365

465 : 1, 3, 5, 15, 31, 93, 155, 465

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,465,372,758, is 1.

Now, the common factors can be found like this.

365:5x 73

465:3x 5x 31

372:2x 2x 3x 31

758:2x 379

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 5x 31 = 930

Therefore, the value for common factors is 930.

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 = 47858376600/(1x930)

LCM = 47858376600/930

LCM = 51460620

Thus, we can understand that the LCM of 365,465,372,758 is 51460620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 465, 372, 758

1. What is the LCM of 365, 465, 372, 758?

Answer: LCM of 365, 465, 372, 758 is 51460620.

2. How to calculate the LCM of 365, 465, 372, 758?

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 365, 465, 372, 758.

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}.