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LCM of 841, 468, 689, 209

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


Find the LCM of 841, 468, 689, 209 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 841, 468, 689, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,468,689,209

Given numbers are 841,468,689,209

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

The LCM of 841,468,689,209 is 4359774276.

Find LCM of 841,468,689,209 with Prime Factorization


13 841, 468, 689, 209
841, 36, 53, 209

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

13 x 841 x 36 x 53 x 209 = 4359774276

Therefore, the lowest common multiple of 841,468,689,209 is 4359774276.

LCM Formula to Find Lowest Common Multiple of 841,468,689,209

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.

841 x 468 x 689 x 209 = 56677065588

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.

841 : 1, 29, 841

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

689 : 1, 13, 53, 689

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,468,689,209, is 1.

Now, the common factors can be found like this.

841:29x 29

468:2x 2x 3x 3x 13

689:13x 53

209:11x 19

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

13 = 13

Therefore, the value for common factors is 13.

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 = 56677065588/(1x13)

LCM = 56677065588/13

LCM = 4359774276

Thus, we can understand that the LCM of 841,468,689,209 is 4359774276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 468, 689, 209

1. What is the LCM of 841, 468, 689, 209?

Answer: LCM of 841, 468, 689, 209 is 4359774276.

2. How to calculate the LCM of 841, 468, 689, 209?

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 841, 468, 689, 209.

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}.