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LCM of 102, 490, 491, 315, 978

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


Find the LCM of 102, 490, 491, 315, 978 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 102, 490, 491, 315, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,490,491,315,978

Given numbers are 102,490,491,315,978

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

The LCM of 102,490,491,315,978 is 6000074010.

Find LCM of 102,490,491,315,978 with Prime Factorization


2 102, 490, 491, 315, 978
3 51, 245, 491, 315, 489
5 17, 245, 491, 105, 163
7 17, 49, 491, 21, 163
17, 7, 491, 3, 163

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

2 x 3 x 5 x 7 x 17 x 7 x 491 x 3 x 163 = 6000074010

Therefore, the lowest common multiple of 102,490,491,315,978 is 6000074010.

LCM Formula to Find Lowest Common Multiple of 102,490,491,315,978

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.

102 x 490 x 491 x 315 x 978 = 7560093252600

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

491 : 1, 491

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,490,491,315,978, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

490:2x 5x 7x 7

491:491

315:3x 3x 5x 7

978:2x 3x 163

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 3x 3x 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 7560093252600/(1x1260)

LCM = 7560093252600/1260

LCM = 6000074010

Thus, we can understand that the LCM of 102,490,491,315,978 is 6000074010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 490, 491, 315, 978

1. What is the LCM of 102, 490, 491, 315, 978?

Answer: LCM of 102, 490, 491, 315, 978 is 6000074010.

2. How to calculate the LCM of 102, 490, 491, 315, 978?

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 102, 490, 491, 315, 978.

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}.