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LCM of 444, 703, 334, 954

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


Find the LCM of 444, 703, 334, 954 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 444, 703, 334, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 444,703,334,954

Given numbers are 444,703,334,954

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

The LCM of 444,703,334,954 is 224001108.

Find LCM of 444,703,334,954 with Prime Factorization


2 444, 703, 334, 954
3 222, 703, 167, 477
37 74, 703, 167, 159
2, 19, 167, 159

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

2 x 3 x 37 x 2 x 19 x 167 x 159 = 224001108

Therefore, the lowest common multiple of 444,703,334,954 is 224001108.

LCM Formula to Find Lowest Common Multiple of 444,703,334,954

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.

444 x 703 x 334 x 954 = 99456491952

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

703 : 1, 19, 37, 703

334 : 1, 2, 167, 334

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,703,334,954, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

703:19x 37

334:2x 167

954:2x 3x 3x 53

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 37 = 444

Therefore, the value for common factors is 444.

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 = 99456491952/(1x444)

LCM = 99456491952/444

LCM = 224001108

Thus, we can understand that the LCM of 444,703,334,954 is 224001108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 444, 703, 334, 954

1. What is the LCM of 444, 703, 334, 954?

Answer: LCM of 444, 703, 334, 954 is 224001108.

2. How to calculate the LCM of 444, 703, 334, 954?

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 444, 703, 334, 954.

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}.