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LCM of 469, 119, 516, 112, 387

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


Find the LCM of 469, 119, 516, 112, 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 469, 119, 516, 112, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,119,516,112,387

Given numbers are 469,119,516,112,387

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

The LCM of 469,119,516,112,387 is 49368816.

Find LCM of 469,119,516,112,387 with Prime Factorization


2 469, 119, 516, 112, 387
2 469, 119, 258, 56, 387
3 469, 119, 129, 28, 387
7 469, 119, 43, 28, 129
43 67, 17, 43, 4, 129
67, 17, 1, 4, 3

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

2 x 2 x 3 x 7 x 43 x 67 x 17 x 1 x 4 x 3 = 49368816

Therefore, the lowest common multiple of 469,119,516,112,387 is 49368816.

LCM Formula to Find Lowest Common Multiple of 469,119,516,112,387

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.

469 x 119 x 516 x 112 x 387 = 1248241143744

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.

469 : 1, 7, 67, 469

119 : 1, 7, 17, 119

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 469,119,516,112,387, is 1.

Now, the common factors can be found like this.

469:7x 67

119:7x 17

516:2x 2x 3x 43

112:2x 2x 2x 2x 7

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.

2x 2x 3x 7x 7x 43 = 25284

Therefore, the value for common factors is 25284.

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 = 1248241143744/(1x25284)

LCM = 1248241143744/25284

LCM = 49368816

Thus, we can understand that the LCM of 469,119,516,112,387 is 49368816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 119, 516, 112, 387

1. What is the LCM of 469, 119, 516, 112, 387?

Answer: LCM of 469, 119, 516, 112, 387 is 49368816.

2. How to calculate the LCM of 469, 119, 516, 112, 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 469, 119, 516, 112, 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}.