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LCM of 946, 943, 893, 706, 355

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


Find the LCM of 946, 943, 893, 706, 355 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 946, 943, 893, 706, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,943,893,706,355

Given numbers are 946,943,893,706,355

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

The LCM of 946,943,893,706,355 is 99829143831010.

Find LCM of 946,943,893,706,355 with Prime Factorization


2 946, 943, 893, 706, 355
473, 943, 893, 353, 355

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

2 x 473 x 943 x 893 x 353 x 355 = 99829143831010

Therefore, the lowest common multiple of 946,943,893,706,355 is 99829143831010.

LCM Formula to Find Lowest Common Multiple of 946,943,893,706,355

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.

946 x 943 x 893 x 706 x 355 = 199658287662020

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.

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

943 : 1, 23, 41, 943

893 : 1, 19, 47, 893

706 : 1, 2, 353, 706

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,943,893,706,355, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

943:23x 41

893:19x 47

706:2x 353

355:5x 71

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 = 199658287662020/(1x2)

LCM = 199658287662020/2

LCM = 99829143831010

Thus, we can understand that the LCM of 946,943,893,706,355 is 99829143831010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 943, 893, 706, 355

1. What is the LCM of 946, 943, 893, 706, 355?

Answer: LCM of 946, 943, 893, 706, 355 is 99829143831010.

2. How to calculate the LCM of 946, 943, 893, 706, 355?

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 946, 943, 893, 706, 355.

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}.