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LCM of 682, 186, 724, 434, 145

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


Find the LCM of 682, 186, 724, 434, 145 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 682, 186, 724, 434, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,186,724,434,145

Given numbers are 682,186,724,434,145

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

The LCM of 682,186,724,434,145 is 751761780.

Find LCM of 682,186,724,434,145 with Prime Factorization


2 682, 186, 724, 434, 145
31 341, 93, 362, 217, 145
11, 3, 362, 7, 145

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

2 x 31 x 11 x 3 x 362 x 7 x 145 = 751761780

Therefore, the lowest common multiple of 682,186,724,434,145 is 751761780.

LCM Formula to Find Lowest Common Multiple of 682,186,724,434,145

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.

682 x 186 x 724 x 434 x 145 = 5779544564640

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

186 : 1, 2, 3, 6, 31, 62, 93, 186

724 : 1, 2, 4, 181, 362, 724

434 : 1, 2, 7, 14, 31, 62, 217, 434

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,186,724,434,145, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

186:2x 3x 31

724:2x 2x 181

434:2x 7x 31

145:5x 29

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 2x 31x 31 = 7688

Therefore, the value for common factors is 7688.

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 = 5779544564640/(1x7688)

LCM = 5779544564640/7688

LCM = 751761780

Thus, we can understand that the LCM of 682,186,724,434,145 is 751761780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 186, 724, 434, 145

1. What is the LCM of 682, 186, 724, 434, 145?

Answer: LCM of 682, 186, 724, 434, 145 is 751761780.

2. How to calculate the LCM of 682, 186, 724, 434, 145?

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 682, 186, 724, 434, 145.

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}.