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LCM of 293, 406, 461, 254

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


Find the LCM of 293, 406, 461, 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 293, 406, 461, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,406,461,254

Given numbers are 293,406,461,254

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

The LCM of 293,406,461,254 is 6964634026.

Find LCM of 293,406,461,254 with Prime Factorization


2 293, 406, 461, 254
293, 203, 461, 127

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

2 x 293 x 203 x 461 x 127 = 6964634026

Therefore, the lowest common multiple of 293,406,461,254 is 6964634026.

LCM Formula to Find Lowest Common Multiple of 293,406,461,254

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.

293 x 406 x 461 x 254 = 13929268052

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.

293 : 1, 293

406 : 1, 2, 7, 14, 29, 58, 203, 406

461 : 1, 461

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,406,461,254, is 1.

Now, the common factors can be found like this.

293:293

406:2x 7x 29

461:461

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.

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 = 13929268052/(1x2)

LCM = 13929268052/2

LCM = 6964634026

Thus, we can understand that the LCM of 293,406,461,254 is 6964634026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 406, 461, 254

1. What is the LCM of 293, 406, 461, 254?

Answer: LCM of 293, 406, 461, 254 is 6964634026.

2. How to calculate the LCM of 293, 406, 461, 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 293, 406, 461, 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}.