LCM of 473, 626, 345, 750, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 626, 345, 750, 666 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 473, 626, 345, 750, 666. So, keep reading to learn more.
Given numbers are 473,626,345,750,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,626,345,750,666 is 283476822750.
Find LCM of 473,626,345,750,666 with Prime Factorization
| 2 | 473, 626, 345, 750, 666 |
| 3 | 473, 313, 345, 375, 333 |
| 5 | 473, 313, 115, 125, 111 |
| 473, 313, 23, 25, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 473 x 313 x 23 x 25 x 111 = 283476822750
Therefore, the lowest common multiple of 473,626,345,750,666 is 283476822750.
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.
473 x 626 x 345 x 750 x 666 = 51025828095000
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.
473 : 1, 11, 43, 473
626 : 1, 2, 313, 626
345 : 1, 3, 5, 15, 23, 69, 115, 345
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,626,345,750,666, is 1.
Now, the common factors can be found like this.
473:11x 43
626:2x 313
345:3x 5x 23
750:2x 3x 5x 5x 5
666:2x 3x 3x 37
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 51025828095000/(1x180)
LCM = 51025828095000/180
LCM = 283476822750
Thus, we can understand that the LCM of 473,626,345,750,666 is 283476822750.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 473, 626, 345, 750, 666
1. What is the LCM of 473, 626, 345, 750, 666?
Answer: LCM of 473, 626, 345, 750, 666 is 283476822750.
2. How to calculate the LCM of 473, 626, 345, 750, 666?
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 473, 626, 345, 750, 666.
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}.