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LCM of 357, 858, 390, 598, 129

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


Find the LCM of 357, 858, 390, 598, 129 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, 858, 390, 598, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,858,390,598,129

Given numbers are 357,858,390,598,129

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

The LCM of 357,858,390,598,129 is 504894390.

Find LCM of 357,858,390,598,129 with Prime Factorization


2 357, 858, 390, 598, 129
3 357, 429, 195, 299, 129
13 119, 143, 65, 299, 43
119, 11, 5, 23, 43

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

2 x 3 x 13 x 119 x 11 x 5 x 23 x 43 = 504894390

Therefore, the lowest common multiple of 357,858,390,598,129 is 504894390.

LCM Formula to Find Lowest Common Multiple of 357,858,390,598,129

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 858 x 390 x 598 x 129 = 9215332406280

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

598 : 1, 2, 13, 23, 26, 46, 299, 598

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,858,390,598,129, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

858:2x 3x 11x 13

390:2x 3x 5x 13

598:2x 13x 23

129:3x 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 3x 3x 13x 13 = 18252

Therefore, the value for common factors is 18252.

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 = 9215332406280/(1x18252)

LCM = 9215332406280/18252

LCM = 504894390

Thus, we can understand that the LCM of 357,858,390,598,129 is 504894390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 858, 390, 598, 129

1. What is the LCM of 357, 858, 390, 598, 129?

Answer: LCM of 357, 858, 390, 598, 129 is 504894390.

2. How to calculate the LCM of 357, 858, 390, 598, 129?

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, 858, 390, 598, 129.

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}.