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LCM of 874, 610, 244, 293

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


Find the LCM of 874, 610, 244, 293 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, 610, 244, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,610,244,293

Given numbers are 874,610,244,293

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

The LCM of 874,610,244,293 is 156210020.

Find LCM of 874,610,244,293 with Prime Factorization


2 874, 610, 244, 293
61 437, 305, 122, 293
437, 5, 2, 293

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

2 x 61 x 437 x 5 x 2 x 293 = 156210020

Therefore, the lowest common multiple of 874,610,244,293 is 156210020.

LCM Formula to Find Lowest Common Multiple of 874,610,244,293

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 610 x 244 x 293 = 38115244880

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

244 : 1, 2, 4, 61, 122, 244

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,610,244,293, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

610:2x 5x 61

244:2x 2x 61

293:293

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 61 = 244

Therefore, the value for common factors is 244.

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 = 38115244880/(1x244)

LCM = 38115244880/244

LCM = 156210020

Thus, we can understand that the LCM of 874,610,244,293 is 156210020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 610, 244, 293

1. What is the LCM of 874, 610, 244, 293?

Answer: LCM of 874, 610, 244, 293 is 156210020.

2. How to calculate the LCM of 874, 610, 244, 293?

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, 610, 244, 293.

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}.