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LCM of 357, 291, 586, 474, 712

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


Find the LCM of 357, 291, 586, 474, 712 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 357, 291, 586, 474, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,291,586,474,712

Given numbers are 357,291,586,474,712

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

The LCM of 357,291,586,474,712 is 570708913656.

Find LCM of 357,291,586,474,712 with Prime Factorization


2 357, 291, 586, 474, 712
3 357, 291, 293, 237, 356
119, 97, 293, 79, 356

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

2 x 3 x 119 x 97 x 293 x 79 x 356 = 570708913656

Therefore, the lowest common multiple of 357,291,586,474,712 is 570708913656.

LCM Formula to Find Lowest Common Multiple of 357,291,586,474,712

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.

357 x 291 x 586 x 474 x 712 = 20545520891616

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

291 : 1, 3, 97, 291

586 : 1, 2, 293, 586

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,291,586,474,712, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

291:3x 97

586:2x 293

474:2x 3x 79

712:2x 2x 2x 89

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 3 = 36

Therefore, the value for common factors is 36.

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 = 20545520891616/(1x36)

LCM = 20545520891616/36

LCM = 570708913656

Thus, we can understand that the LCM of 357,291,586,474,712 is 570708913656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 291, 586, 474, 712

1. What is the LCM of 357, 291, 586, 474, 712?

Answer: LCM of 357, 291, 586, 474, 712 is 570708913656.

2. How to calculate the LCM of 357, 291, 586, 474, 712?

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 357, 291, 586, 474, 712.

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}.