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LCM of 606, 556, 955, 678, 508

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


Find the LCM of 606, 556, 955, 678, 508 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 606, 556, 955, 678, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,556,955,678,508

Given numbers are 606,556,955,678,508

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

The LCM of 606,556,955,678,508 is 2308888475940.

Find LCM of 606,556,955,678,508 with Prime Factorization


2 606, 556, 955, 678, 508
2 303, 278, 955, 339, 254
3 303, 139, 955, 339, 127
101, 139, 955, 113, 127

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

2 x 2 x 3 x 101 x 139 x 955 x 113 x 127 = 2308888475940

Therefore, the lowest common multiple of 606,556,955,678,508 is 2308888475940.

LCM Formula to Find Lowest Common Multiple of 606,556,955,678,508

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.

606 x 556 x 955 x 678 x 508 = 110826646845120

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

556 : 1, 2, 4, 139, 278, 556

955 : 1, 5, 191, 955

678 : 1, 2, 3, 6, 113, 226, 339, 678

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,556,955,678,508, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

556:2x 2x 139

955:5x 191

678:2x 3x 113

508:2x 2x 127

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 110826646845120/(1x48)

LCM = 110826646845120/48

LCM = 2308888475940

Thus, we can understand that the LCM of 606,556,955,678,508 is 2308888475940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 556, 955, 678, 508

1. What is the LCM of 606, 556, 955, 678, 508?

Answer: LCM of 606, 556, 955, 678, 508 is 2308888475940.

2. How to calculate the LCM of 606, 556, 955, 678, 508?

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 606, 556, 955, 678, 508.

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}.