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LCM of 298, 102, 390, 663, 846

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


Find the LCM of 298, 102, 390, 663, 846 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 298, 102, 390, 663, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,102,390,663,846

Given numbers are 298,102,390,663,846

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

The LCM of 298,102,390,663,846 is 139289670.

Find LCM of 298,102,390,663,846 with Prime Factorization


2 298, 102, 390, 663, 846
3 149, 51, 195, 663, 423
13 149, 17, 65, 221, 141
17 149, 17, 5, 17, 141
149, 1, 5, 1, 141

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

2 x 3 x 13 x 17 x 149 x 1 x 5 x 1 x 141 = 139289670

Therefore, the lowest common multiple of 298,102,390,663,846 is 139289670.

LCM Formula to Find Lowest Common Multiple of 298,102,390,663,846

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.

298 x 102 x 390 x 663 x 846 = 6649131687120

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.

298 : 1, 2, 149, 298

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

663 : 1, 3, 13, 17, 39, 51, 221, 663

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,102,390,663,846, is 1.

Now, the common factors can be found like this.

298:2x 149

102:2x 3x 17

390:2x 3x 5x 13

663:3x 13x 17

846:2x 3x 3x 47

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 3x 3x 13x 17 = 47736

Therefore, the value for common factors is 47736.

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 = 6649131687120/(1x47736)

LCM = 6649131687120/47736

LCM = 139289670

Thus, we can understand that the LCM of 298,102,390,663,846 is 139289670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 102, 390, 663, 846

1. What is the LCM of 298, 102, 390, 663, 846?

Answer: LCM of 298, 102, 390, 663, 846 is 139289670.

2. How to calculate the LCM of 298, 102, 390, 663, 846?

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 298, 102, 390, 663, 846.

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}.