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LCM of 454, 814, 726, 236

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


Find the LCM of 454, 814, 726, 236 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 454, 814, 726, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,814,726,236

Given numbers are 454,814,726,236

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

The LCM of 454,814,726,236 is 719525532.

Find LCM of 454,814,726,236 with Prime Factorization


2 454, 814, 726, 236
11 227, 407, 363, 118
227, 37, 33, 118

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

2 x 11 x 227 x 37 x 33 x 118 = 719525532

Therefore, the lowest common multiple of 454,814,726,236 is 719525532.

LCM Formula to Find Lowest Common Multiple of 454,814,726,236

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.

454 x 814 x 726 x 236 = 63318246816

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.

454 : 1, 2, 227, 454

814 : 1, 2, 11, 22, 37, 74, 407, 814

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

236 : 1, 2, 4, 59, 118, 236

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,814,726,236, is 2.

Now, the common factors can be found like this.

454:2x 227

814:2x 11x 37

726:2x 3x 11x 11

236:2x 2x 59

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 63318246816/(2x44)

LCM = 63318246816/88

LCM = 719525532

Thus, we can understand that the LCM of 454,814,726,236 is 719525532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 814, 726, 236

1. What is the LCM of 454, 814, 726, 236?

Answer: LCM of 454, 814, 726, 236 is 719525532.

2. How to calculate the LCM of 454, 814, 726, 236?

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 454, 814, 726, 236.

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}.