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LCM of 452, 766, 349, 565, 454

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


Find the LCM of 452, 766, 349, 565, 454 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 452, 766, 349, 565, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,766,349,565,454

Given numbers are 452,766,349,565,454

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

The LCM of 452,766,349,565,454 is 68573844340.

Find LCM of 452,766,349,565,454 with Prime Factorization


2 452, 766, 349, 565, 454
113 226, 383, 349, 565, 227
2, 383, 349, 5, 227

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

2 x 113 x 2 x 383 x 349 x 5 x 227 = 68573844340

Therefore, the lowest common multiple of 452,766,349,565,454 is 68573844340.

LCM Formula to Find Lowest Common Multiple of 452,766,349,565,454

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.

452 x 766 x 349 x 565 x 454 = 30995377641680

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.

452 : 1, 2, 4, 113, 226, 452

766 : 1, 2, 383, 766

349 : 1, 349

565 : 1, 5, 113, 565

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,766,349,565,454, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

766:2x 383

349:349

565:5x 113

454:2x 227

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 113 = 452

Therefore, the value for common factors is 452.

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 = 30995377641680/(1x452)

LCM = 30995377641680/452

LCM = 68573844340

Thus, we can understand that the LCM of 452,766,349,565,454 is 68573844340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 766, 349, 565, 454

1. What is the LCM of 452, 766, 349, 565, 454?

Answer: LCM of 452, 766, 349, 565, 454 is 68573844340.

2. How to calculate the LCM of 452, 766, 349, 565, 454?

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 452, 766, 349, 565, 454.

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}.