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LCM of 683, 975, 746, 586, 184

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


Find the LCM of 683, 975, 746, 586, 184 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 683, 975, 746, 586, 184. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,975,746,586,184

Given numbers are 683,975,746,586,184

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

The LCM of 683,975,746,586,184 is 13391203027800.

Find LCM of 683,975,746,586,184 with Prime Factorization


2 683, 975, 746, 586, 184
683, 975, 373, 293, 92

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

2 x 683 x 975 x 373 x 293 x 92 = 13391203027800

Therefore, the lowest common multiple of 683,975,746,586,184 is 13391203027800.

LCM Formula to Find Lowest Common Multiple of 683,975,746,586,184

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.

683 x 975 x 746 x 586 x 184 = 53564812111200

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.

683 : 1, 683

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

746 : 1, 2, 373, 746

586 : 1, 2, 293, 586

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,975,746,586,184, is 1.

Now, the common factors can be found like this.

683:683

975:3x 5x 5x 13

746:2x 373

586:2x 293

184:2x 2x 2x 23

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 = 53564812111200/(1x4)

LCM = 53564812111200/4

LCM = 13391203027800

Thus, we can understand that the LCM of 683,975,746,586,184 is 13391203027800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 975, 746, 586, 184

1. What is the LCM of 683, 975, 746, 586, 184?

Answer: LCM of 683, 975, 746, 586, 184 is 13391203027800.

2. How to calculate the LCM of 683, 975, 746, 586, 184?

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 683, 975, 746, 586, 184.

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}.