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LCM of 306, 892, 714, 910

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


Find the LCM of 306, 892, 714, 910 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 306, 892, 714, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,892,714,910

Given numbers are 306,892,714,910

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

The LCM of 306,892,714,910 is 62096580.

Find LCM of 306,892,714,910 with Prime Factorization


2 306, 892, 714, 910
3 153, 446, 357, 455
7 51, 446, 119, 455
17 51, 446, 17, 65
3, 446, 1, 65

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

2 x 3 x 7 x 17 x 3 x 446 x 1 x 65 = 62096580

Therefore, the lowest common multiple of 306,892,714,910 is 62096580.

LCM Formula to Find Lowest Common Multiple of 306,892,714,910

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.

306 x 892 x 714 x 910 = 177347832480

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

892 : 1, 2, 4, 223, 446, 892

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,892,714,910, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

892:2x 2x 223

714:2x 3x 7x 17

910:2x 5x 7x 13

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 7x 17 = 1428

Therefore, the value for common factors is 1428.

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 = 177347832480/(2x1428)

LCM = 177347832480/2856

LCM = 62096580

Thus, we can understand that the LCM of 306,892,714,910 is 62096580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 892, 714, 910

1. What is the LCM of 306, 892, 714, 910?

Answer: LCM of 306, 892, 714, 910 is 62096580.

2. How to calculate the LCM of 306, 892, 714, 910?

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 306, 892, 714, 910.

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}.