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LCM of 141, 743, 693, 846

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


Find the LCM of 141, 743, 693, 846 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 141, 743, 693, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,743,693,846

Given numbers are 141,743,693,846

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

The LCM of 141,743,693,846 is 48400506.

Find LCM of 141,743,693,846 with Prime Factorization


3 141, 743, 693, 846
3 47, 743, 231, 282
47 47, 743, 77, 94
1, 743, 77, 2

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

3 x 3 x 47 x 1 x 743 x 77 x 2 = 48400506

Therefore, the lowest common multiple of 141,743,693,846 is 48400506.

LCM Formula to Find Lowest Common Multiple of 141,743,693,846

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.

141 x 743 x 693 x 846 = 61420242114

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.

141 : 1, 3, 47, 141

743 : 1, 743

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,743,693,846, is 1.

Now, the common factors can be found like this.

141:3x 47

743:743

693:3x 3x 7x 11

846:2x 3x 3x 47

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

3x 3x 3x 47 = 1269

Therefore, the value for common factors is 1269.

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 = 61420242114/(1x1269)

LCM = 61420242114/1269

LCM = 48400506

Thus, we can understand that the LCM of 141,743,693,846 is 48400506.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 743, 693, 846

1. What is the LCM of 141, 743, 693, 846?

Answer: LCM of 141, 743, 693, 846 is 48400506.

2. How to calculate the LCM of 141, 743, 693, 846?

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 141, 743, 693, 846.

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}.