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LCM of 473, 358, 387

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


Find the LCM of 473, 358, 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 473, 358, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,358,387

Given numbers are 473,358,387

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

The LCM of 473,358,387 is 1524006.

Find LCM of 473,358,387 with Prime Factorization


43 473, 358, 387
11, 358, 9

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

43 x 11 x 358 x 9 = 1524006

Therefore, the lowest common multiple of 473,358,387 is 1524006.

LCM Formula to Find Lowest Common Multiple of 473,358,387

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.

473 x 358 x 387 = 65532258

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.

473 : 1, 11, 43, 473

358 : 1, 2, 179, 358

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 473,358,387, is 1.

Now, the common factors can be found like this.

473:11x 43

358:2x 179

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.

43 = 43

Therefore, the value for common factors is 43.

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 = 65532258/(1x43)

LCM = 65532258/43

LCM = 1524006

Thus, we can understand that the LCM of 473,358,387 is 1524006.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 473, 358, 387

1. What is the LCM of 473, 358, 387?

Answer: LCM of 473, 358, 387 is 1524006.

2. How to calculate the LCM of 473, 358, 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 473, 358, 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}.