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LCM of 874, 660, 253, 632

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


Find the LCM of 874, 660, 253, 632 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 874, 660, 253, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,660,253,632

Given numbers are 874,660,253,632

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

The LCM of 874,660,253,632 is 45570360.

Find LCM of 874,660,253,632 with Prime Factorization


2 874, 660, 253, 632
2 437, 330, 253, 316
11 437, 165, 253, 158
23 437, 15, 23, 158
19, 15, 1, 158

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

2 x 2 x 11 x 23 x 19 x 15 x 1 x 158 = 45570360

Therefore, the lowest common multiple of 874,660,253,632 is 45570360.

LCM Formula to Find Lowest Common Multiple of 874,660,253,632

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.

874 x 660 x 253 x 632 = 92234408640

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

253 : 1, 11, 23, 253

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,660,253,632, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

660:2x 2x 3x 5x 11

253:11x 23

632:2x 2x 2x 79

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 11x 23 = 2024

Therefore, the value for common factors is 2024.

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 = 92234408640/(1x2024)

LCM = 92234408640/2024

LCM = 45570360

Thus, we can understand that the LCM of 874,660,253,632 is 45570360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 660, 253, 632

1. What is the LCM of 874, 660, 253, 632?

Answer: LCM of 874, 660, 253, 632 is 45570360.

2. How to calculate the LCM of 874, 660, 253, 632?

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 874, 660, 253, 632.

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}.