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LCM of 821, 451, 209, 716

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


Find the LCM of 821, 451, 209, 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 821, 451, 209, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,451,209,716

Given numbers are 821,451,209,716

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

The LCM of 821,451,209,716 is 5037166684.

Find LCM of 821,451,209,716 with Prime Factorization


11 821, 451, 209, 716
821, 41, 19, 716

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

11 x 821 x 41 x 19 x 716 = 5037166684

Therefore, the lowest common multiple of 821,451,209,716 is 5037166684.

LCM Formula to Find Lowest Common Multiple of 821,451,209,716

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.

821 x 451 x 209 x 716 = 55408833524

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.

821 : 1, 821

451 : 1, 11, 41, 451

209 : 1, 11, 19, 209

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 821,451,209,716, is 1.

Now, the common factors can be found like this.

821:821

451:11x 41

209:11x 19

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 55408833524/(1x11)

LCM = 55408833524/11

LCM = 5037166684

Thus, we can understand that the LCM of 821,451,209,716 is 5037166684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 451, 209, 716

1. What is the LCM of 821, 451, 209, 716?

Answer: LCM of 821, 451, 209, 716 is 5037166684.

2. How to calculate the LCM of 821, 451, 209, 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 821, 451, 209, 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}.