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LCM of 922, 258, 756, 731

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


Find the LCM of 922, 258, 756, 731 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 922, 258, 756, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,258,756,731

Given numbers are 922,258,756,731

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

The LCM of 922,258,756,731 is 254765196.

Find LCM of 922,258,756,731 with Prime Factorization


2 922, 258, 756, 731
3 461, 129, 378, 731
43 461, 43, 126, 731
461, 1, 126, 17

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

2 x 3 x 43 x 461 x 1 x 126 x 17 = 254765196

Therefore, the lowest common multiple of 922,258,756,731 is 254765196.

LCM Formula to Find Lowest Common Multiple of 922,258,756,731

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.

922 x 258 x 756 x 731 = 131458841136

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.

922 : 1, 2, 461, 922

258 : 1, 2, 3, 6, 43, 86, 129, 258

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,258,756,731, is 1.

Now, the common factors can be found like this.

922:2x 461

258:2x 3x 43

756:2x 2x 3x 3x 3x 7

731:17x 43

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 3x 43 = 516

Therefore, the value for common factors is 516.

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 = 131458841136/(1x516)

LCM = 131458841136/516

LCM = 254765196

Thus, we can understand that the LCM of 922,258,756,731 is 254765196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 258, 756, 731

1. What is the LCM of 922, 258, 756, 731?

Answer: LCM of 922, 258, 756, 731 is 254765196.

2. How to calculate the LCM of 922, 258, 756, 731?

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 922, 258, 756, 731.

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}.