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LCM of 5, 187, 845, 140

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


Find the LCM of 5, 187, 845, 140 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 5, 187, 845, 140. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5,187,845,140

Given numbers are 5,187,845,140

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

The LCM of 5,187,845,140 is 4424420.

Find LCM of 5,187,845,140 with Prime Factorization


5 5, 187, 845, 140
1, 187, 169, 28

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

5 x 1 x 187 x 169 x 28 = 4424420

Therefore, the lowest common multiple of 5,187,845,140 is 4424420.

LCM Formula to Find Lowest Common Multiple of 5,187,845,140

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.

5 x 187 x 845 x 140 = 110610500

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.

5 : 1, 5

187 : 1, 11, 17, 187

845 : 1, 5, 13, 65, 169, 845

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,187,845,140, is 1.

Now, the common factors can be found like this.

5:5

187:11x 17

845:5x 13x 13

140:2x 2x 5x 7

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 110610500/(1x25)

LCM = 110610500/25

LCM = 4424420

Thus, we can understand that the LCM of 5,187,845,140 is 4424420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 5, 187, 845, 140

1. What is the LCM of 5, 187, 845, 140?

Answer: LCM of 5, 187, 845, 140 is 4424420.

2. How to calculate the LCM of 5, 187, 845, 140?

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 5, 187, 845, 140.

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}.