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LCM of 750, 208, 473, 282, 657

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


Find the LCM of 750, 208, 473, 282, 657 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 750, 208, 473, 282, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,208,473,282,657

Given numbers are 750,208,473,282,657

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

The LCM of 750,208,473,282,657 is 379749942000.

Find LCM of 750,208,473,282,657 with Prime Factorization


2 750, 208, 473, 282, 657
3 375, 104, 473, 141, 657
125, 104, 473, 47, 219

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

2 x 3 x 125 x 104 x 473 x 47 x 219 = 379749942000

Therefore, the lowest common multiple of 750,208,473,282,657 is 379749942000.

LCM Formula to Find Lowest Common Multiple of 750,208,473,282,657

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.

750 x 208 x 473 x 282 x 657 = 13670997912000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

473 : 1, 11, 43, 473

282 : 1, 2, 3, 6, 47, 94, 141, 282

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,208,473,282,657, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

208:2x 2x 2x 2x 13

473:11x 43

282:2x 3x 47

657:3x 3x 73

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 13670997912000/(1x36)

LCM = 13670997912000/36

LCM = 379749942000

Thus, we can understand that the LCM of 750,208,473,282,657 is 379749942000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 208, 473, 282, 657

1. What is the LCM of 750, 208, 473, 282, 657?

Answer: LCM of 750, 208, 473, 282, 657 is 379749942000.

2. How to calculate the LCM of 750, 208, 473, 282, 657?

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 750, 208, 473, 282, 657.

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}.