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LCM of 858, 300, 154, 176, 671

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


Find the LCM of 858, 300, 154, 176, 671 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, 300, 154, 176, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,300,154,176,671

Given numbers are 858,300,154,176,671

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

The LCM of 858,300,154,176,671 is 73273200.

Find LCM of 858,300,154,176,671 with Prime Factorization


2 858, 300, 154, 176, 671
2 429, 150, 77, 88, 671
3 429, 75, 77, 44, 671
11 143, 25, 77, 44, 671
13, 25, 7, 4, 61

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

2 x 2 x 3 x 11 x 13 x 25 x 7 x 4 x 61 = 73273200

Therefore, the lowest common multiple of 858,300,154,176,671 is 73273200.

LCM Formula to Find Lowest Common Multiple of 858,300,154,176,671

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 300 x 154 x 176 x 671 = 4681278201600

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

154 : 1, 2, 7, 11, 14, 22, 77, 154

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,300,154,176,671, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

300:2x 2x 3x 5x 5

154:2x 7x 11

176:2x 2x 2x 2x 11

671:11x 61

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 2x 2x 3x 11x 11x 11 = 63888

Therefore, the value for common factors is 63888.

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 = 4681278201600/(1x63888)

LCM = 4681278201600/63888

LCM = 73273200

Thus, we can understand that the LCM of 858,300,154,176,671 is 73273200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 300, 154, 176, 671

1. What is the LCM of 858, 300, 154, 176, 671?

Answer: LCM of 858, 300, 154, 176, 671 is 73273200.

2. How to calculate the LCM of 858, 300, 154, 176, 671?

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, 300, 154, 176, 671.

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}.