LCM of 902, 803, 746, 140, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 803, 746, 140, 630 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 902, 803, 746, 140, 630. So, keep reading to learn more.
Given numbers are 902,803,746,140,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,803,746,140,630 is 15473151540.
Find LCM of 902,803,746,140,630 with Prime Factorization
| 2 | 902, 803, 746, 140, 630 |
| 5 | 451, 803, 373, 70, 315 |
| 7 | 451, 803, 373, 14, 63 |
| 11 | 451, 803, 373, 2, 9 |
| 41, 73, 373, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 41 x 73 x 373 x 2 x 9 = 15473151540
Therefore, the lowest common multiple of 902,803,746,140,630 is 15473151540.
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.
902 x 803 x 746 x 140 x 630 = 47657306743200
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
803 : 1, 11, 73, 803
746 : 1, 2, 373, 746
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,803,746,140,630, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
803:11x 73
746:2x 373
140:2x 2x 5x 7
630:2x 3x 3x 5x 7
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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 47657306743200/(1x3080)
LCM = 47657306743200/3080
LCM = 15473151540
Thus, we can understand that the LCM of 902,803,746,140,630 is 15473151540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 902, 803, 746, 140, 630
1. What is the LCM of 902, 803, 746, 140, 630?
Answer: LCM of 902, 803, 746, 140, 630 is 15473151540.
2. How to calculate the LCM of 902, 803, 746, 140, 630?
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 902, 803, 746, 140, 630.
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}.