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LCM of 451, 551, 872, 294

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


Find the LCM of 451, 551, 872, 294 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 451, 551, 872, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,551,872,294

Given numbers are 451,551,872,294

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

The LCM of 451,551,872,294 is 31853852184.

Find LCM of 451,551,872,294 with Prime Factorization


2 451, 551, 872, 294
451, 551, 436, 147

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

2 x 451 x 551 x 436 x 147 = 31853852184

Therefore, the lowest common multiple of 451,551,872,294 is 31853852184.

LCM Formula to Find Lowest Common Multiple of 451,551,872,294

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.

451 x 551 x 872 x 294 = 63707704368

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.

451 : 1, 11, 41, 451

551 : 1, 19, 29, 551

872 : 1, 2, 4, 8, 109, 218, 436, 872

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,551,872,294, is 1.

Now, the common factors can be found like this.

451:11x 41

551:19x 29

872:2x 2x 2x 109

294:2x 3x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63707704368/(1x2)

LCM = 63707704368/2

LCM = 31853852184

Thus, we can understand that the LCM of 451,551,872,294 is 31853852184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 451, 551, 872, 294

1. What is the LCM of 451, 551, 872, 294?

Answer: LCM of 451, 551, 872, 294 is 31853852184.

2. How to calculate the LCM of 451, 551, 872, 294?

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 451, 551, 872, 294.

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}.