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LCM of 941, 134, 169, 460, 706

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


Find the LCM of 941, 134, 169, 460, 706 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 941, 134, 169, 460, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,134,169,460,706

Given numbers are 941,134,169,460,706

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

The LCM of 941,134,169,460,706 is 1730149644340.

Find LCM of 941,134,169,460,706 with Prime Factorization


2 941, 134, 169, 460, 706
941, 67, 169, 230, 353

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

2 x 941 x 67 x 169 x 230 x 353 = 1730149644340

Therefore, the lowest common multiple of 941,134,169,460,706 is 1730149644340.

LCM Formula to Find Lowest Common Multiple of 941,134,169,460,706

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.

941 x 134 x 169 x 460 x 706 = 6920598577360

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.

941 : 1, 941

134 : 1, 2, 67, 134

169 : 1, 13, 169

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,134,169,460,706, is 1.

Now, the common factors can be found like this.

941:941

134:2x 67

169:13x 13

460:2x 2x 5x 23

706:2x 353

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 = 6920598577360/(1x4)

LCM = 6920598577360/4

LCM = 1730149644340

Thus, we can understand that the LCM of 941,134,169,460,706 is 1730149644340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 134, 169, 460, 706

1. What is the LCM of 941, 134, 169, 460, 706?

Answer: LCM of 941, 134, 169, 460, 706 is 1730149644340.

2. How to calculate the LCM of 941, 134, 169, 460, 706?

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 941, 134, 169, 460, 706.

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}.