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LCM of 368, 101, 426, 169, 577

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


Find the LCM of 368, 101, 426, 169, 577 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 368, 101, 426, 169, 577. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,101,426,169,577

Given numbers are 368,101,426,169,577

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

The LCM of 368,101,426,169,577 is 771989358192.

Find LCM of 368,101,426,169,577 with Prime Factorization


2 368, 101, 426, 169, 577
184, 101, 213, 169, 577

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

2 x 184 x 101 x 213 x 169 x 577 = 771989358192

Therefore, the lowest common multiple of 368,101,426,169,577 is 771989358192.

LCM Formula to Find Lowest Common Multiple of 368,101,426,169,577

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.

368 x 101 x 426 x 169 x 577 = 1543978716384

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

101 : 1, 101

426 : 1, 2, 3, 6, 71, 142, 213, 426

169 : 1, 13, 169

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,101,426,169,577, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

101:101

426:2x 3x 71

169:13x 13

577:577

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 = 1543978716384/(1x2)

LCM = 1543978716384/2

LCM = 771989358192

Thus, we can understand that the LCM of 368,101,426,169,577 is 771989358192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 368, 101, 426, 169, 577

1. What is the LCM of 368, 101, 426, 169, 577?

Answer: LCM of 368, 101, 426, 169, 577 is 771989358192.

2. How to calculate the LCM of 368, 101, 426, 169, 577?

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 368, 101, 426, 169, 577.

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}.