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LCM of 877, 724, 554, 214

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


Find the LCM of 877, 724, 554, 214 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 877, 724, 554, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,724,554,214

Given numbers are 877,724,554,214

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

The LCM of 877,724,554,214 is 18819223772.

Find LCM of 877,724,554,214 with Prime Factorization


2 877, 724, 554, 214
877, 362, 277, 107

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

2 x 877 x 362 x 277 x 107 = 18819223772

Therefore, the lowest common multiple of 877,724,554,214 is 18819223772.

LCM Formula to Find Lowest Common Multiple of 877,724,554,214

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.

877 x 724 x 554 x 214 = 75276895088

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.

877 : 1, 877

724 : 1, 2, 4, 181, 362, 724

554 : 1, 2, 277, 554

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,724,554,214, is 1.

Now, the common factors can be found like this.

877:877

724:2x 2x 181

554:2x 277

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 75276895088/(1x4)

LCM = 75276895088/4

LCM = 18819223772

Thus, we can understand that the LCM of 877,724,554,214 is 18819223772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 724, 554, 214

1. What is the LCM of 877, 724, 554, 214?

Answer: LCM of 877, 724, 554, 214 is 18819223772.

2. How to calculate the LCM of 877, 724, 554, 214?

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 877, 724, 554, 214.

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}.