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LCM of 577, 367, 556, 834, 890

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


Find the LCM of 577, 367, 556, 834, 890 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 577, 367, 556, 834, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,367,556,834,890

Given numbers are 577,367,556,834,890

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

The LCM of 577,367,556,834,890 is 157180235340.

Find LCM of 577,367,556,834,890 with Prime Factorization


2 577, 367, 556, 834, 890
139 577, 367, 278, 417, 445
577, 367, 2, 3, 445

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

2 x 139 x 577 x 367 x 2 x 3 x 445 = 157180235340

Therefore, the lowest common multiple of 577,367,556,834,890 is 157180235340.

LCM Formula to Find Lowest Common Multiple of 577,367,556,834,890

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.

577 x 367 x 556 x 834 x 890 = 87392210849040

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.

577 : 1, 577

367 : 1, 367

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,367,556,834,890, is 1.

Now, the common factors can be found like this.

577:577

367:367

556:2x 2x 139

834:2x 3x 139

890:2x 5x 89

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 139 = 556

Therefore, the value for common factors is 556.

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 = 87392210849040/(1x556)

LCM = 87392210849040/556

LCM = 157180235340

Thus, we can understand that the LCM of 577,367,556,834,890 is 157180235340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 367, 556, 834, 890

1. What is the LCM of 577, 367, 556, 834, 890?

Answer: LCM of 577, 367, 556, 834, 890 is 157180235340.

2. How to calculate the LCM of 577, 367, 556, 834, 890?

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 577, 367, 556, 834, 890.

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}.