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LCM of 458, 263, 574, 325, 993

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


Find the LCM of 458, 263, 574, 325, 993 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 458, 263, 574, 325, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,263,574,325,993

Given numbers are 458,263,574,325,993

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

The LCM of 458,263,574,325,993 is 11156699422050.

Find LCM of 458,263,574,325,993 with Prime Factorization


2 458, 263, 574, 325, 993
229, 263, 287, 325, 993

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

2 x 229 x 263 x 287 x 325 x 993 = 11156699422050

Therefore, the lowest common multiple of 458,263,574,325,993 is 11156699422050.

LCM Formula to Find Lowest Common Multiple of 458,263,574,325,993

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.

458 x 263 x 574 x 325 x 993 = 22313398844100

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.

458 : 1, 2, 229, 458

263 : 1, 263

574 : 1, 2, 7, 14, 41, 82, 287, 574

325 : 1, 5, 13, 25, 65, 325

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,263,574,325,993, is 1.

Now, the common factors can be found like this.

458:2x 229

263:263

574:2x 7x 41

325:5x 5x 13

993:3x 331

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 = 22313398844100/(1x2)

LCM = 22313398844100/2

LCM = 11156699422050

Thus, we can understand that the LCM of 458,263,574,325,993 is 11156699422050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 263, 574, 325, 993

1. What is the LCM of 458, 263, 574, 325, 993?

Answer: LCM of 458, 263, 574, 325, 993 is 11156699422050.

2. How to calculate the LCM of 458, 263, 574, 325, 993?

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 458, 263, 574, 325, 993.

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}.