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LCM of 605, 184, 662, 943, 981

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


Find the LCM of 605, 184, 662, 943, 981 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 605, 184, 662, 943, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,184,662,943,981

Given numbers are 605,184,662,943,981

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

The LCM of 605,184,662,943,981 is 1482019969320.

Find LCM of 605,184,662,943,981 with Prime Factorization


2 605, 184, 662, 943, 981
23 605, 92, 331, 943, 981
605, 4, 331, 41, 981

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

2 x 23 x 605 x 4 x 331 x 41 x 981 = 1482019969320

Therefore, the lowest common multiple of 605,184,662,943,981 is 1482019969320.

LCM Formula to Find Lowest Common Multiple of 605,184,662,943,981

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.

605 x 184 x 662 x 943 x 981 = 68172918588720

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.

605 : 1, 5, 11, 55, 121, 605

184 : 1, 2, 4, 8, 23, 46, 92, 184

662 : 1, 2, 331, 662

943 : 1, 23, 41, 943

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,184,662,943,981, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

184:2x 2x 2x 23

662:2x 331

943:23x 41

981:3x 3x 109

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 68172918588720/(1x46)

LCM = 68172918588720/46

LCM = 1482019969320

Thus, we can understand that the LCM of 605,184,662,943,981 is 1482019969320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 184, 662, 943, 981

1. What is the LCM of 605, 184, 662, 943, 981?

Answer: LCM of 605, 184, 662, 943, 981 is 1482019969320.

2. How to calculate the LCM of 605, 184, 662, 943, 981?

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 605, 184, 662, 943, 981.

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}.