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LCM of 994, 805, 453, 964, 169

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


Find the LCM of 994, 805, 453, 964, 169 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 994, 805, 453, 964, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,805,453,964,169

Given numbers are 994,805,453,964,169

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

The LCM of 994,805,453,964,169 is 4218093182940.

Find LCM of 994,805,453,964,169 with Prime Factorization


2 994, 805, 453, 964, 169
7 497, 805, 453, 482, 169
71, 115, 453, 482, 169

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

2 x 7 x 71 x 115 x 453 x 482 x 169 = 4218093182940

Therefore, the lowest common multiple of 994,805,453,964,169 is 4218093182940.

LCM Formula to Find Lowest Common Multiple of 994,805,453,964,169

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.

994 x 805 x 453 x 964 x 169 = 59053304561160

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

805 : 1, 5, 7, 23, 35, 115, 161, 805

453 : 1, 3, 151, 453

964 : 1, 2, 4, 241, 482, 964

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,805,453,964,169, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

805:5x 7x 23

453:3x 151

964:2x 2x 241

169:13x 13

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 59053304561160/(1x14)

LCM = 59053304561160/14

LCM = 4218093182940

Thus, we can understand that the LCM of 994,805,453,964,169 is 4218093182940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 805, 453, 964, 169

1. What is the LCM of 994, 805, 453, 964, 169?

Answer: LCM of 994, 805, 453, 964, 169 is 4218093182940.

2. How to calculate the LCM of 994, 805, 453, 964, 169?

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 994, 805, 453, 964, 169.

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}.