LCM of 688, 870, 841, 735, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 870, 841, 735, 473 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 688, 870, 841, 735, 473. So, keep reading to learn more.
Given numbers are 688,870,841,735,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,870,841,735,473 is 4678045680.
Find LCM of 688,870,841,735,473 with Prime Factorization
| 2 | 688, 870, 841, 735, 473 |
| 3 | 344, 435, 841, 735, 473 |
| 5 | 344, 145, 841, 245, 473 |
| 29 | 344, 29, 841, 49, 473 |
| 43 | 344, 1, 29, 49, 473 |
| 8, 1, 29, 49, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 43 x 8 x 1 x 29 x 49 x 11 = 4678045680
Therefore, the lowest common multiple of 688,870,841,735,473 is 4678045680.
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.
688 x 870 x 841 x 735 x 473 = 175005688888800
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
841 : 1, 29, 841
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,870,841,735,473, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
870:2x 3x 5x 29
841:29x 29
735:3x 5x 7x 7
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 29x 43 = 37410
Therefore, the value for common factors is 37410.
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 = 175005688888800/(1x37410)
LCM = 175005688888800/37410
LCM = 4678045680
Thus, we can understand that the LCM of 688,870,841,735,473 is 4678045680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 688, 870, 841, 735, 473
1. What is the LCM of 688, 870, 841, 735, 473?
Answer: LCM of 688, 870, 841, 735, 473 is 4678045680.
2. How to calculate the LCM of 688, 870, 841, 735, 473?
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 688, 870, 841, 735, 473.
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}.