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LCM of 387, 554, 689, 527, 526

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


Find the LCM of 387, 554, 689, 527, 526 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 387, 554, 689, 527, 526. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,554,689,527,526

Given numbers are 387,554,689,527,526

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

The LCM of 387,554,689,527,526 is 20474170489422.

Find LCM of 387,554,689,527,526 with Prime Factorization


2 387, 554, 689, 527, 526
387, 277, 689, 527, 263

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

2 x 387 x 277 x 689 x 527 x 263 = 20474170489422

Therefore, the lowest common multiple of 387,554,689,527,526 is 20474170489422.

LCM Formula to Find Lowest Common Multiple of 387,554,689,527,526

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.

387 x 554 x 689 x 527 x 526 = 40948340978844

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.

387 : 1, 3, 9, 43, 129, 387

554 : 1, 2, 277, 554

689 : 1, 13, 53, 689

527 : 1, 17, 31, 527

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,554,689,527,526, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

554:2x 277

689:13x 53

527:17x 31

526:2x 263

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 = 40948340978844/(1x2)

LCM = 40948340978844/2

LCM = 20474170489422

Thus, we can understand that the LCM of 387,554,689,527,526 is 20474170489422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 554, 689, 527, 526

1. What is the LCM of 387, 554, 689, 527, 526?

Answer: LCM of 387, 554, 689, 527, 526 is 20474170489422.

2. How to calculate the LCM of 387, 554, 689, 527, 526?

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 387, 554, 689, 527, 526.

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}.