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LCM of 226, 508, 245, 762

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


Find the LCM of 226, 508, 245, 762 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 226, 508, 245, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,508,245,762

Given numbers are 226,508,245,762

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

The LCM of 226,508,245,762 is 42191940.

Find LCM of 226,508,245,762 with Prime Factorization


2 226, 508, 245, 762
127 113, 254, 245, 381
113, 2, 245, 3

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

2 x 127 x 113 x 2 x 245 x 3 = 42191940

Therefore, the lowest common multiple of 226,508,245,762 is 42191940.

LCM Formula to Find Lowest Common Multiple of 226,508,245,762

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.

226 x 508 x 245 x 762 = 21433505520

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.

226 : 1, 2, 113, 226

508 : 1, 2, 4, 127, 254, 508

245 : 1, 5, 7, 35, 49, 245

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,508,245,762, is 1.

Now, the common factors can be found like this.

226:2x 113

508:2x 2x 127

245:5x 7x 7

762:2x 3x 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 127 = 508

Therefore, the value for common factors is 508.

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 = 21433505520/(1x508)

LCM = 21433505520/508

LCM = 42191940

Thus, we can understand that the LCM of 226,508,245,762 is 42191940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 508, 245, 762

1. What is the LCM of 226, 508, 245, 762?

Answer: LCM of 226, 508, 245, 762 is 42191940.

2. How to calculate the LCM of 226, 508, 245, 762?

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 226, 508, 245, 762.

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}.