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LCM of 556, 374, 489, 695

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


Find the LCM of 556, 374, 489, 695 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 556, 374, 489, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,374,489,695

Given numbers are 556,374,489,695

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

The LCM of 556,374,489,695 is 254211540.

Find LCM of 556,374,489,695 with Prime Factorization


2 556, 374, 489, 695
139 278, 187, 489, 695
2, 187, 489, 5

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

2 x 139 x 2 x 187 x 489 x 5 = 254211540

Therefore, the lowest common multiple of 556,374,489,695 is 254211540.

LCM Formula to Find Lowest Common Multiple of 556,374,489,695

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.

556 x 374 x 489 x 695 = 70670808120

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.

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

489 : 1, 3, 163, 489

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,374,489,695, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

374:2x 11x 17

489:3x 163

695:5x 139

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 70670808120/(1x278)

LCM = 70670808120/278

LCM = 254211540

Thus, we can understand that the LCM of 556,374,489,695 is 254211540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 374, 489, 695

1. What is the LCM of 556, 374, 489, 695?

Answer: LCM of 556, 374, 489, 695 is 254211540.

2. How to calculate the LCM of 556, 374, 489, 695?

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 556, 374, 489, 695.

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}.