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LCM of 420, 670, 578, 981, 310

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


Find the LCM of 420, 670, 578, 981, 310 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 420, 670, 578, 981, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,670,578,981,310

Given numbers are 420,670,578,981,310

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

The LCM of 420,670,578,981,310 is 82438747020.

Find LCM of 420,670,578,981,310 with Prime Factorization


2 420, 670, 578, 981, 310
3 210, 335, 289, 981, 155
5 70, 335, 289, 327, 155
14, 67, 289, 327, 31

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

2 x 3 x 5 x 14 x 67 x 289 x 327 x 31 = 82438747020

Therefore, the lowest common multiple of 420,670,578,981,310 is 82438747020.

LCM Formula to Find Lowest Common Multiple of 420,670,578,981,310

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.

420 x 670 x 578 x 981 x 310 = 49463248212000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

578 : 1, 2, 17, 34, 289, 578

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,670,578,981,310, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

670:2x 5x 67

578:2x 17x 17

981:3x 3x 109

310:2x 5x 31

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 49463248212000/(1x600)

LCM = 49463248212000/600

LCM = 82438747020

Thus, we can understand that the LCM of 420,670,578,981,310 is 82438747020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 670, 578, 981, 310

1. What is the LCM of 420, 670, 578, 981, 310?

Answer: LCM of 420, 670, 578, 981, 310 is 82438747020.

2. How to calculate the LCM of 420, 670, 578, 981, 310?

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 420, 670, 578, 981, 310.

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}.