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LCM of 952, 605, 308, 673

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


Find the LCM of 952, 605, 308, 673 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 952, 605, 308, 673. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,605,308,673

Given numbers are 952,605,308,673

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

The LCM of 952,605,308,673 is 387621080.

Find LCM of 952,605,308,673 with Prime Factorization


2 952, 605, 308, 673
2 476, 605, 154, 673
7 238, 605, 77, 673
11 34, 605, 11, 673
34, 55, 1, 673

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

2 x 2 x 7 x 11 x 34 x 55 x 1 x 673 = 387621080

Therefore, the lowest common multiple of 952,605,308,673 is 387621080.

LCM Formula to Find Lowest Common Multiple of 952,605,308,673

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.

952 x 605 x 308 x 673 = 119387292640

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

605 : 1, 5, 11, 55, 121, 605

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

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,605,308,673, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

605:5x 11x 11

308:2x 2x 7x 11

673:673

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 119387292640/(1x308)

LCM = 119387292640/308

LCM = 387621080

Thus, we can understand that the LCM of 952,605,308,673 is 387621080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 605, 308, 673

1. What is the LCM of 952, 605, 308, 673?

Answer: LCM of 952, 605, 308, 673 is 387621080.

2. How to calculate the LCM of 952, 605, 308, 673?

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 952, 605, 308, 673.

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}.