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LCM of 601, 253, 601, 601, 308

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


Find the LCM of 601, 253, 601, 601, 308 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 601, 253, 601, 601, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,253,601,601,308

Given numbers are 601,253,601,601,308

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

The LCM of 601,253,601,601,308 is 4257484.

Find LCM of 601,253,601,601,308 with Prime Factorization


11 601, 253, 601, 601, 308
601 601, 23, 601, 601, 28
1, 23, 1, 1, 28

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

11 x 601 x 1 x 23 x 1 x 1 x 28 = 4257484

Therefore, the lowest common multiple of 601,253,601,601,308 is 4257484.

LCM Formula to Find Lowest Common Multiple of 601,253,601,601,308

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.

601 x 253 x 601 x 601 x 308 = 16915882261124

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.

601 : 1, 601

253 : 1, 11, 23, 253

601 : 1, 601

601 : 1, 601

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,253,601,601,308, is 1.

Now, the common factors can be found like this.

601:601

253:11x 23

601:601

601:601

308:2x 2x 7x 11

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

11x 601x 601 = 3973211

Therefore, the value for common factors is 3973211.

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 = 16915882261124/(1x3973211)

LCM = 16915882261124/3973211

LCM = 4257484

Thus, we can understand that the LCM of 601,253,601,601,308 is 4257484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 253, 601, 601, 308

1. What is the LCM of 601, 253, 601, 601, 308?

Answer: LCM of 601, 253, 601, 601, 308 is 4257484.

2. How to calculate the LCM of 601, 253, 601, 601, 308?

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 601, 253, 601, 601, 308.

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}.