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LCM of 922, 402, 946, 755

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


Find the LCM of 922, 402, 946, 755 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, 402, 946, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,402,946,755

Given numbers are 922,402,946,755

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

The LCM of 922,402,946,755 is 66181266030.

Find LCM of 922,402,946,755 with Prime Factorization


2 922, 402, 946, 755
461, 201, 473, 755

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

2 x 461 x 201 x 473 x 755 = 66181266030

Therefore, the lowest common multiple of 922,402,946,755 is 66181266030.

LCM Formula to Find Lowest Common Multiple of 922,402,946,755

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 402 x 946 x 755 = 264725064120

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

946 : 1, 2, 11, 22, 43, 86, 473, 946

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,402,946,755, is 1.

Now, the common factors can be found like this.

922:2x 461

402:2x 3x 67

946:2x 11x 43

755:5x 151

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 264725064120/(1x4)

LCM = 264725064120/4

LCM = 66181266030

Thus, we can understand that the LCM of 922,402,946,755 is 66181266030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 402, 946, 755

1. What is the LCM of 922, 402, 946, 755?

Answer: LCM of 922, 402, 946, 755 is 66181266030.

2. How to calculate the LCM of 922, 402, 946, 755?

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, 402, 946, 755.

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}.