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LCM of 487, 651, 374, 187

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


Find the LCM of 487, 651, 374, 187 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 487, 651, 374, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,651,374,187

Given numbers are 487,651,374,187

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

The LCM of 487,651,374,187 is 118571838.

Find LCM of 487,651,374,187 with Prime Factorization


11 487, 651, 374, 187
17 487, 651, 34, 17
487, 651, 2, 1

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

11 x 17 x 487 x 651 x 2 x 1 = 118571838

Therefore, the lowest common multiple of 487,651,374,187 is 118571838.

LCM Formula to Find Lowest Common Multiple of 487,651,374,187

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.

487 x 651 x 374 x 187 = 22172933706

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.

487 : 1, 487

651 : 1, 3, 7, 21, 31, 93, 217, 651

374 : 1, 2, 11, 17, 22, 34, 187, 374

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,651,374,187, is 1.

Now, the common factors can be found like this.

487:487

651:3x 7x 31

374:2x 11x 17

187:11x 17

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 22172933706/(1x187)

LCM = 22172933706/187

LCM = 118571838

Thus, we can understand that the LCM of 487,651,374,187 is 118571838.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 651, 374, 187

1. What is the LCM of 487, 651, 374, 187?

Answer: LCM of 487, 651, 374, 187 is 118571838.

2. How to calculate the LCM of 487, 651, 374, 187?

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 487, 651, 374, 187.

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}.