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LCM of 685, 184, 286, 532, 456

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


Find the LCM of 685, 184, 286, 532, 456 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 685, 184, 286, 532, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,184,286,532,456

Given numbers are 685,184,286,532,456

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

The LCM of 685,184,286,532,456 is 7191464280.

Find LCM of 685,184,286,532,456 with Prime Factorization


2 685, 184, 286, 532, 456
2 685, 92, 143, 266, 228
2 685, 46, 143, 133, 114
19 685, 23, 143, 133, 57
685, 23, 143, 7, 3

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

2 x 2 x 2 x 19 x 685 x 23 x 143 x 7 x 3 = 7191464280

Therefore, the lowest common multiple of 685,184,286,532,456 is 7191464280.

LCM Formula to Find Lowest Common Multiple of 685,184,286,532,456

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.

685 x 184 x 286 x 532 x 456 = 8744820564480

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.

685 : 1, 5, 137, 685

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,184,286,532,456, is 1.

Now, the common factors can be found like this.

685:5x 137

184:2x 2x 2x 23

286:2x 11x 13

532:2x 2x 7x 19

456:2x 2x 2x 3x 19

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 2x 2x 2x 19 = 1216

Therefore, the value for common factors is 1216.

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 = 8744820564480/(1x1216)

LCM = 8744820564480/1216

LCM = 7191464280

Thus, we can understand that the LCM of 685,184,286,532,456 is 7191464280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 184, 286, 532, 456

1. What is the LCM of 685, 184, 286, 532, 456?

Answer: LCM of 685, 184, 286, 532, 456 is 7191464280.

2. How to calculate the LCM of 685, 184, 286, 532, 456?

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 685, 184, 286, 532, 456.

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}.