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LCM of 858, 315, 860, 141, 925

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


Find the LCM of 858, 315, 860, 141, 925 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 858, 315, 860, 141, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,315,860,141,925

Given numbers are 858,315,860,141,925

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

The LCM of 858,315,860,141,925 is 67366599300.

Find LCM of 858,315,860,141,925 with Prime Factorization


2 858, 315, 860, 141, 925
3 429, 315, 430, 141, 925
5 143, 105, 430, 47, 925
143, 21, 86, 47, 185

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

2 x 3 x 5 x 143 x 21 x 86 x 47 x 185 = 67366599300

Therefore, the lowest common multiple of 858,315,860,141,925 is 67366599300.

LCM Formula to Find Lowest Common Multiple of 858,315,860,141,925

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.

858 x 315 x 860 x 141 x 925 = 30314969685000

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.

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

141 : 1, 3, 47, 141

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,315,860,141,925, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

315:3x 3x 5x 7

860:2x 2x 5x 43

141:3x 47

925:5x 5x 37

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 30314969685000/(1x450)

LCM = 30314969685000/450

LCM = 67366599300

Thus, we can understand that the LCM of 858,315,860,141,925 is 67366599300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 315, 860, 141, 925

1. What is the LCM of 858, 315, 860, 141, 925?

Answer: LCM of 858, 315, 860, 141, 925 is 67366599300.

2. How to calculate the LCM of 858, 315, 860, 141, 925?

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 858, 315, 860, 141, 925.

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}.