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LCM of 943, 323, 889, 289

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


Find the LCM of 943, 323, 889, 289 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 943, 323, 889, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,323,889,289

Given numbers are 943,323,889,289

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

The LCM of 943,323,889,289 is 4603253557.

Find LCM of 943,323,889,289 with Prime Factorization


17 943, 323, 889, 289
943, 19, 889, 17

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

17 x 943 x 19 x 889 x 17 = 4603253557

Therefore, the lowest common multiple of 943,323,889,289 is 4603253557.

LCM Formula to Find Lowest Common Multiple of 943,323,889,289

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.

943 x 323 x 889 x 289 = 78255310469

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.

943 : 1, 23, 41, 943

323 : 1, 17, 19, 323

889 : 1, 7, 127, 889

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,323,889,289, is 1.

Now, the common factors can be found like this.

943:23x 41

323:17x 19

889:7x 127

289:17x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 78255310469/(1x17)

LCM = 78255310469/17

LCM = 4603253557

Thus, we can understand that the LCM of 943,323,889,289 is 4603253557.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 323, 889, 289

1. What is the LCM of 943, 323, 889, 289?

Answer: LCM of 943, 323, 889, 289 is 4603253557.

2. How to calculate the LCM of 943, 323, 889, 289?

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 943, 323, 889, 289.

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}.