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LCM of 454, 354, 118, 766

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


Find the LCM of 454, 354, 118, 766 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, 354, 118, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,354,118,766

Given numbers are 454,354,118,766

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

The LCM of 454,354,118,766 is 30777114.

Find LCM of 454,354,118,766 with Prime Factorization


2 454, 354, 118, 766
59 227, 177, 59, 383
227, 3, 1, 383

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

2 x 59 x 227 x 3 x 1 x 383 = 30777114

Therefore, the lowest common multiple of 454,354,118,766 is 30777114.

LCM Formula to Find Lowest Common Multiple of 454,354,118,766

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 354 x 118 x 766 = 14526797808

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

118 : 1, 2, 59, 118

766 : 1, 2, 383, 766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,354,118,766, is 2.

Now, the common factors can be found like this.

454:2x 227

354:2x 3x 59

118:2x 59

766:2x 383

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 59 = 236

Therefore, the value for common factors is 236.

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 = 14526797808/(2x236)

LCM = 14526797808/472

LCM = 30777114

Thus, we can understand that the LCM of 454,354,118,766 is 30777114.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 354, 118, 766

1. What is the LCM of 454, 354, 118, 766?

Answer: LCM of 454, 354, 118, 766 is 30777114.

2. How to calculate the LCM of 454, 354, 118, 766?

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, 354, 118, 766.

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}.