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LCM of 879, 174, 193, 145, 858

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


Find the LCM of 879, 174, 193, 145, 858 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 879, 174, 193, 145, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,174,193,145,858

Given numbers are 879,174,193,145,858

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

The LCM of 879,174,193,145,858 is 7035261090.

Find LCM of 879,174,193,145,858 with Prime Factorization


2 879, 174, 193, 145, 858
3 879, 87, 193, 145, 429
29 293, 29, 193, 145, 143
293, 1, 193, 5, 143

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

2 x 3 x 29 x 293 x 1 x 193 x 5 x 143 = 7035261090

Therefore, the lowest common multiple of 879,174,193,145,858 is 7035261090.

LCM Formula to Find Lowest Common Multiple of 879,174,193,145,858

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.

879 x 174 x 193 x 145 x 858 = 3672406288980

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.

879 : 1, 3, 293, 879

174 : 1, 2, 3, 6, 29, 58, 87, 174

193 : 1, 193

145 : 1, 5, 29, 145

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,174,193,145,858, is 1.

Now, the common factors can be found like this.

879:3x 293

174:2x 3x 29

193:193

145:5x 29

858:2x 3x 11x 13

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 29 = 522

Therefore, the value for common factors is 522.

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 = 3672406288980/(1x522)

LCM = 3672406288980/522

LCM = 7035261090

Thus, we can understand that the LCM of 879,174,193,145,858 is 7035261090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 174, 193, 145, 858

1. What is the LCM of 879, 174, 193, 145, 858?

Answer: LCM of 879, 174, 193, 145, 858 is 7035261090.

2. How to calculate the LCM of 879, 174, 193, 145, 858?

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 879, 174, 193, 145, 858.

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}.