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 949, 895, 205, 459, 438

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


Find the LCM of 949, 895, 205, 459, 438 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 949, 895, 205, 459, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,895,205,459,438

Given numbers are 949,895,205,459,438

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

The LCM of 949,895,205,459,438 is 31968023490.

Find LCM of 949,895,205,459,438 with Prime Factorization


3 949, 895, 205, 459, 438
5 949, 895, 205, 153, 146
73 949, 179, 41, 153, 146
13, 179, 41, 153, 2

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

3 x 5 x 73 x 13 x 179 x 41 x 153 x 2 = 31968023490

Therefore, the lowest common multiple of 949,895,205,459,438 is 31968023490.

LCM Formula to Find Lowest Common Multiple of 949,895,205,459,438

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.

949 x 895 x 205 x 459 x 438 = 35004985721550

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.

949 : 1, 13, 73, 949

895 : 1, 5, 179, 895

205 : 1, 5, 41, 205

459 : 1, 3, 9, 17, 27, 51, 153, 459

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,895,205,459,438, is 1.

Now, the common factors can be found like this.

949:13x 73

895:5x 179

205:5x 41

459:3x 3x 3x 17

438:2x 3x 73

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

3x 5x 73 = 1095

Therefore, the value for common factors is 1095.

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 = 35004985721550/(1x1095)

LCM = 35004985721550/1095

LCM = 31968023490

Thus, we can understand that the LCM of 949,895,205,459,438 is 31968023490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 895, 205, 459, 438

1. What is the LCM of 949, 895, 205, 459, 438?

Answer: LCM of 949, 895, 205, 459, 438 is 31968023490.

2. How to calculate the LCM of 949, 895, 205, 459, 438?

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 949, 895, 205, 459, 438.

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}.