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LCM of 902, 276, 227, 716

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


Find the LCM of 902, 276, 227, 716 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 902, 276, 227, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,276,227,716

Given numbers are 902,276,227,716

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

The LCM of 902,276,227,716 is 5057833308.

Find LCM of 902,276,227,716 with Prime Factorization


2 902, 276, 227, 716
2 451, 138, 227, 358
451, 69, 227, 179

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

2 x 2 x 451 x 69 x 227 x 179 = 5057833308

Therefore, the lowest common multiple of 902,276,227,716 is 5057833308.

LCM Formula to Find Lowest Common Multiple of 902,276,227,716

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.

902 x 276 x 227 x 716 = 40462666464

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

227 : 1, 227

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,276,227,716, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

276:2x 2x 3x 23

227:227

716:2x 2x 179

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 2 = 8

Therefore, the value for common factors is 8.

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 = 40462666464/(1x8)

LCM = 40462666464/8

LCM = 5057833308

Thus, we can understand that the LCM of 902,276,227,716 is 5057833308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 276, 227, 716

1. What is the LCM of 902, 276, 227, 716?

Answer: LCM of 902, 276, 227, 716 is 5057833308.

2. How to calculate the LCM of 902, 276, 227, 716?

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 902, 276, 227, 716.

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}.