LCM of 630, 347, 822, 746, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 347, 822, 746, 305 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 630, 347, 822, 746, 305. So, keep reading to learn more.
Given numbers are 630,347,822,746,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,347,822,746,305 is 681442566210.
Find LCM of 630,347,822,746,305 with Prime Factorization
| 2 | 630, 347, 822, 746, 305 |
| 3 | 315, 347, 411, 373, 305 |
| 5 | 105, 347, 137, 373, 305 |
| 21, 347, 137, 373, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 21 x 347 x 137 x 373 x 61 = 681442566210
Therefore, the lowest common multiple of 630,347,822,746,305 is 681442566210.
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.
630 x 347 x 822 x 746 x 305 = 40886553972600
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.
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
347 : 1, 347
822 : 1, 2, 3, 6, 137, 274, 411, 822
746 : 1, 2, 373, 746
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,347,822,746,305, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
347:347
822:2x 3x 137
746:2x 373
305:5x 61
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 5 = 60
Therefore, the value for common factors is 60.
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 = 40886553972600/(1x60)
LCM = 40886553972600/60
LCM = 681442566210
Thus, we can understand that the LCM of 630,347,822,746,305 is 681442566210.
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FAQs on LCM of 630, 347, 822, 746, 305
1. What is the LCM of 630, 347, 822, 746, 305?
Answer: LCM of 630, 347, 822, 746, 305 is 681442566210.
2. How to calculate the LCM of 630, 347, 822, 746, 305?
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 630, 347, 822, 746, 305.
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}.