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LCM of 605, 352, 276, 952

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


Find the LCM of 605, 352, 276, 952 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 605, 352, 276, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,352,276,952

Given numbers are 605,352,276,952

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

The LCM of 605,352,276,952 is 158964960.

Find LCM of 605,352,276,952 with Prime Factorization


2 605, 352, 276, 952
2 605, 176, 138, 476
2 605, 88, 69, 238
11 605, 44, 69, 119
55, 4, 69, 119

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

2 x 2 x 2 x 11 x 55 x 4 x 69 x 119 = 158964960

Therefore, the lowest common multiple of 605,352,276,952 is 158964960.

LCM Formula to Find Lowest Common Multiple of 605,352,276,952

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.

605 x 352 x 276 x 952 = 55955665920

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.

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,352,276,952, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

352:2x 2x 2x 2x 2x 11

276:2x 2x 3x 23

952:2x 2x 2x 7x 17

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 2x 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 55955665920/(1x352)

LCM = 55955665920/352

LCM = 158964960

Thus, we can understand that the LCM of 605,352,276,952 is 158964960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 352, 276, 952

1. What is the LCM of 605, 352, 276, 952?

Answer: LCM of 605, 352, 276, 952 is 158964960.

2. How to calculate the LCM of 605, 352, 276, 952?

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 605, 352, 276, 952.

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}.