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LCM of 917, 671, 858, 871, 670

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


Find the LCM of 917, 671, 858, 871, 670 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 917, 671, 858, 871, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,671,858,871,670

Given numbers are 917,671,858,871,670

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

The LCM of 917,671,858,871,670 is 16077971910.

Find LCM of 917,671,858,871,670 with Prime Factorization


2 917, 671, 858, 871, 670
11 917, 671, 429, 871, 335
13 917, 61, 39, 871, 335
67 917, 61, 3, 67, 335
917, 61, 3, 1, 5

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

2 x 11 x 13 x 67 x 917 x 61 x 3 x 1 x 5 = 16077971910

Therefore, the lowest common multiple of 917,671,858,871,670 is 16077971910.

LCM Formula to Find Lowest Common Multiple of 917,671,858,871,670

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.

917 x 671 x 858 x 871 x 670 = 308086097739420

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.

917 : 1, 7, 131, 917

671 : 1, 11, 61, 671

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

871 : 1, 13, 67, 871

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,671,858,871,670, is 1.

Now, the common factors can be found like this.

917:7x 131

671:11x 61

858:2x 3x 11x 13

871:13x 67

670:2x 5x 67

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

2x 11x 13x 67 = 19162

Therefore, the value for common factors is 19162.

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 = 308086097739420/(1x19162)

LCM = 308086097739420/19162

LCM = 16077971910

Thus, we can understand that the LCM of 917,671,858,871,670 is 16077971910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 671, 858, 871, 670

1. What is the LCM of 917, 671, 858, 871, 670?

Answer: LCM of 917, 671, 858, 871, 670 is 16077971910.

2. How to calculate the LCM of 917, 671, 858, 871, 670?

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 917, 671, 858, 871, 670.

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}.