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LCM of 536, 394, 548, 997, 254

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


Find the LCM of 536, 394, 548, 997, 254 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 536, 394, 548, 997, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 536,394,548,997,254

Given numbers are 536,394,548,997,254

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

The LCM of 536,394,548,997,254 is 1831683622376.

Find LCM of 536,394,548,997,254 with Prime Factorization


2 536, 394, 548, 997, 254
2 268, 197, 274, 997, 127
134, 197, 137, 997, 127

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

2 x 2 x 134 x 197 x 137 x 997 x 127 = 1831683622376

Therefore, the lowest common multiple of 536,394,548,997,254 is 1831683622376.

LCM Formula to Find Lowest Common Multiple of 536,394,548,997,254

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.

536 x 394 x 548 x 997 x 254 = 29306937958016

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

394 : 1, 2, 197, 394

548 : 1, 2, 4, 137, 274, 548

997 : 1, 997

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,394,548,997,254, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

394:2x 197

548:2x 2x 137

997:997

254:2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 29306937958016/(1x16)

LCM = 29306937958016/16

LCM = 1831683622376

Thus, we can understand that the LCM of 536,394,548,997,254 is 1831683622376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 536, 394, 548, 997, 254

1. What is the LCM of 536, 394, 548, 997, 254?

Answer: LCM of 536, 394, 548, 997, 254 is 1831683622376.

2. How to calculate the LCM of 536, 394, 548, 997, 254?

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 536, 394, 548, 997, 254.

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}.