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LCM of 428, 866, 527, 514, 657

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


Find the LCM of 428, 866, 527, 514, 657 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 428, 866, 527, 514, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,866,527,514,657

Given numbers are 428,866,527,514,657

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

The LCM of 428,866,527,514,657 is 16490763884052.

Find LCM of 428,866,527,514,657 with Prime Factorization


2 428, 866, 527, 514, 657
214, 433, 527, 257, 657

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

2 x 214 x 433 x 527 x 257 x 657 = 16490763884052

Therefore, the lowest common multiple of 428,866,527,514,657 is 16490763884052.

LCM Formula to Find Lowest Common Multiple of 428,866,527,514,657

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.

428 x 866 x 527 x 514 x 657 = 65963055536208

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.

428 : 1, 2, 4, 107, 214, 428

866 : 1, 2, 433, 866

527 : 1, 17, 31, 527

514 : 1, 2, 257, 514

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,866,527,514,657, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

866:2x 433

527:17x 31

514:2x 257

657:3x 3x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 65963055536208/(1x4)

LCM = 65963055536208/4

LCM = 16490763884052

Thus, we can understand that the LCM of 428,866,527,514,657 is 16490763884052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 866, 527, 514, 657

1. What is the LCM of 428, 866, 527, 514, 657?

Answer: LCM of 428, 866, 527, 514, 657 is 16490763884052.

2. How to calculate the LCM of 428, 866, 527, 514, 657?

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 428, 866, 527, 514, 657.

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}.