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LCM of 306, 842, 854, 199, 726

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


Find the LCM of 306, 842, 854, 199, 726 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, 842, 854, 199, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,842,854,199,726

Given numbers are 306,842,854,199,726

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

The LCM of 306,842,854,199,726 is 1324554535458.

Find LCM of 306,842,854,199,726 with Prime Factorization


2 306, 842, 854, 199, 726
3 153, 421, 427, 199, 363
51, 421, 427, 199, 121

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

2 x 3 x 51 x 421 x 427 x 199 x 121 = 1324554535458

Therefore, the lowest common multiple of 306,842,854,199,726 is 1324554535458.

LCM Formula to Find Lowest Common Multiple of 306,842,854,199,726

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 842 x 854 x 199 x 726 = 31789308850992

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

842 : 1, 2, 421, 842

854 : 1, 2, 7, 14, 61, 122, 427, 854

199 : 1, 199

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,842,854,199,726, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

842:2x 421

854:2x 7x 61

199:199

726:2x 3x 11x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 31789308850992/(1x24)

LCM = 31789308850992/24

LCM = 1324554535458

Thus, we can understand that the LCM of 306,842,854,199,726 is 1324554535458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 842, 854, 199, 726

1. What is the LCM of 306, 842, 854, 199, 726?

Answer: LCM of 306, 842, 854, 199, 726 is 1324554535458.

2. How to calculate the LCM of 306, 842, 854, 199, 726?

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, 842, 854, 199, 726.

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}.