LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 308, 931, 969, 418

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


Find the LCM of 308, 931, 969, 418 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 308, 931, 969, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,931,969,418

Given numbers are 308,931,969,418

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

The LCM of 308,931,969,418 is 2089164.

Find LCM of 308,931,969,418 with Prime Factorization


2 308, 931, 969, 418
7 154, 931, 969, 209
11 22, 133, 969, 209
19 2, 133, 969, 19
2, 7, 51, 1

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

2 x 7 x 11 x 19 x 2 x 7 x 51 x 1 = 2089164

Therefore, the lowest common multiple of 308,931,969,418 is 2089164.

LCM Formula to Find Lowest Common Multiple of 308,931,969,418

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.

308 x 931 x 969 x 418 = 116144983416

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

931 : 1, 7, 19, 49, 133, 931

969 : 1, 3, 17, 19, 51, 57, 323, 969

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,931,969,418, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

931:7x 7x 19

969:3x 17x 19

418:2x 11x 19

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

2x 7x 11x 19x 19 = 55594

Therefore, the value for common factors is 55594.

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 = 116144983416/(1x55594)

LCM = 116144983416/55594

LCM = 2089164

Thus, we can understand that the LCM of 308,931,969,418 is 2089164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 931, 969, 418

1. What is the LCM of 308, 931, 969, 418?

Answer: LCM of 308, 931, 969, 418 is 2089164.

2. How to calculate the LCM of 308, 931, 969, 418?

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 308, 931, 969, 418.

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}.