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LCM of 614, 521, 266, 946, 921

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


Find the LCM of 614, 521, 266, 946, 921 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 614, 521, 266, 946, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,521,266,946,921

Given numbers are 614,521,266,946,921

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

The LCM of 614,521,266,946,921 is 60372634938.

Find LCM of 614,521,266,946,921 with Prime Factorization


2 614, 521, 266, 946, 921
307 307, 521, 133, 473, 921
1, 521, 133, 473, 3

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

2 x 307 x 1 x 521 x 133 x 473 x 3 = 60372634938

Therefore, the lowest common multiple of 614,521,266,946,921 is 60372634938.

LCM Formula to Find Lowest Common Multiple of 614,521,266,946,921

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.

614 x 521 x 266 x 946 x 921 = 74137595703864

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.

614 : 1, 2, 307, 614

521 : 1, 521

266 : 1, 2, 7, 14, 19, 38, 133, 266

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

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,521,266,946,921, is 1.

Now, the common factors can be found like this.

614:2x 307

521:521

266:2x 7x 19

946:2x 11x 43

921:3x 307

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 307 = 1228

Therefore, the value for common factors is 1228.

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 = 74137595703864/(1x1228)

LCM = 74137595703864/1228

LCM = 60372634938

Thus, we can understand that the LCM of 614,521,266,946,921 is 60372634938.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 521, 266, 946, 921

1. What is the LCM of 614, 521, 266, 946, 921?

Answer: LCM of 614, 521, 266, 946, 921 is 60372634938.

2. How to calculate the LCM of 614, 521, 266, 946, 921?

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 614, 521, 266, 946, 921.

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}.