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LCM of 465, 989, 146, 387

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


Find the LCM of 465, 989, 146, 387 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 465, 989, 146, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 465,989,146,387

Given numbers are 465,989,146,387

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

The LCM of 465,989,146,387 is 201429630.

Find LCM of 465,989,146,387 with Prime Factorization


3 465, 989, 146, 387
43 155, 989, 146, 129
155, 23, 146, 3

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

3 x 43 x 155 x 23 x 146 x 3 = 201429630

Therefore, the lowest common multiple of 465,989,146,387 is 201429630.

LCM Formula to Find Lowest Common Multiple of 465,989,146,387

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.

465 x 989 x 146 x 387 = 25984422270

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.

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

989 : 1, 23, 43, 989

146 : 1, 2, 73, 146

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,989,146,387, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

989:23x 43

146:2x 73

387:3x 3x 43

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

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 25984422270/(1x129)

LCM = 25984422270/129

LCM = 201429630

Thus, we can understand that the LCM of 465,989,146,387 is 201429630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 465, 989, 146, 387

1. What is the LCM of 465, 989, 146, 387?

Answer: LCM of 465, 989, 146, 387 is 201429630.

2. How to calculate the LCM of 465, 989, 146, 387?

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 465, 989, 146, 387.

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}.