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LCM of 316, 122, 867, 427

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


Find the LCM of 316, 122, 867, 427 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 316, 122, 867, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,122,867,427

Given numbers are 316,122,867,427

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

The LCM of 316,122,867,427 is 116986044.

Find LCM of 316,122,867,427 with Prime Factorization


2 316, 122, 867, 427
61 158, 61, 867, 427
158, 1, 867, 7

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

2 x 61 x 158 x 1 x 867 x 7 = 116986044

Therefore, the lowest common multiple of 316,122,867,427 is 116986044.

LCM Formula to Find Lowest Common Multiple of 316,122,867,427

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.

316 x 122 x 867 x 427 = 14272297368

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.

316 : 1, 2, 4, 79, 158, 316

122 : 1, 2, 61, 122

867 : 1, 3, 17, 51, 289, 867

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,122,867,427, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

122:2x 61

867:3x 17x 17

427:7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 14272297368/(1x122)

LCM = 14272297368/122

LCM = 116986044

Thus, we can understand that the LCM of 316,122,867,427 is 116986044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 122, 867, 427

1. What is the LCM of 316, 122, 867, 427?

Answer: LCM of 316, 122, 867, 427 is 116986044.

2. How to calculate the LCM of 316, 122, 867, 427?

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 316, 122, 867, 427.

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}.