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LCM of 901, 901, 117, 847

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


Find the LCM of 901, 901, 117, 847 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 901, 901, 117, 847. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,901,117,847

Given numbers are 901,901,117,847

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

The LCM of 901,901,117,847 is 89288199.

Find LCM of 901,901,117,847 with Prime Factorization


17 901, 901, 117, 847
53 53, 53, 117, 847
1, 1, 117, 847

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

17 x 53 x 1 x 1 x 117 x 847 = 89288199

Therefore, the lowest common multiple of 901,901,117,847 is 89288199.

LCM Formula to Find Lowest Common Multiple of 901,901,117,847

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.

901 x 901 x 117 x 847 = 80448667299

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.

901 : 1, 17, 53, 901

901 : 1, 17, 53, 901

117 : 1, 3, 9, 13, 39, 117

847 : 1, 7, 11, 77, 121, 847

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,901,117,847, is 1.

Now, the common factors can be found like this.

901:17x 53

901:17x 53

117:3x 3x 13

847:7x 11x 11

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

17x 53 = 901

Therefore, the value for common factors is 901.

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 = 80448667299/(1x901)

LCM = 80448667299/901

LCM = 89288199

Thus, we can understand that the LCM of 901,901,117,847 is 89288199.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 901, 117, 847

1. What is the LCM of 901, 901, 117, 847?

Answer: LCM of 901, 901, 117, 847 is 89288199.

2. How to calculate the LCM of 901, 901, 117, 847?

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 901, 901, 117, 847.

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}.