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LCM of 642, 609, 254, 527

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


Find the LCM of 642, 609, 254, 527 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 642, 609, 254, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,609,254,527

Given numbers are 642,609,254,527

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

The LCM of 642,609,254,527 is 8722588854.

Find LCM of 642,609,254,527 with Prime Factorization


2 642, 609, 254, 527
3 321, 609, 127, 527
107, 203, 127, 527

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

2 x 3 x 107 x 203 x 127 x 527 = 8722588854

Therefore, the lowest common multiple of 642,609,254,527 is 8722588854.

LCM Formula to Find Lowest Common Multiple of 642,609,254,527

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.

642 x 609 x 254 x 527 = 52335533124

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

609 : 1, 3, 7, 21, 29, 87, 203, 609

254 : 1, 2, 127, 254

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,609,254,527, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

609:3x 7x 29

254:2x 127

527:17x 31

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 52335533124/(1x6)

LCM = 52335533124/6

LCM = 8722588854

Thus, we can understand that the LCM of 642,609,254,527 is 8722588854.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 609, 254, 527

1. What is the LCM of 642, 609, 254, 527?

Answer: LCM of 642, 609, 254, 527 is 8722588854.

2. How to calculate the LCM of 642, 609, 254, 527?

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 642, 609, 254, 527.

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}.