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LCM of 372, 474, 762, 404

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


Find the LCM of 372, 474, 762, 404 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 372, 474, 762, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 372,474,762,404

Given numbers are 372,474,762,404

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

The LCM of 372,474,762,404 is 376959876.

Find LCM of 372,474,762,404 with Prime Factorization


2 372, 474, 762, 404
2 186, 237, 381, 202
3 93, 237, 381, 101
31, 79, 127, 101

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

2 x 2 x 3 x 31 x 79 x 127 x 101 = 376959876

Therefore, the lowest common multiple of 372,474,762,404 is 376959876.

LCM Formula to Find Lowest Common Multiple of 372,474,762,404

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.

372 x 474 x 762 x 404 = 54282222144

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.

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

762 : 1, 2, 3, 6, 127, 254, 381, 762

404 : 1, 2, 4, 101, 202, 404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,474,762,404, is 2.

Now, the common factors can be found like this.

372:2x 2x 3x 31

474:2x 3x 79

762:2x 3x 127

404:2x 2x 101

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 3 = 72

Therefore, the value for common factors is 72.

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 = 54282222144/(2x72)

LCM = 54282222144/144

LCM = 376959876

Thus, we can understand that the LCM of 372,474,762,404 is 376959876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 372, 474, 762, 404

1. What is the LCM of 372, 474, 762, 404?

Answer: LCM of 372, 474, 762, 404 is 376959876.

2. How to calculate the LCM of 372, 474, 762, 404?

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 372, 474, 762, 404.

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}.