LCM of 302, 840, 140, 961, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 840, 140, 961, 728 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 302, 840, 140, 961, 728. So, keep reading to learn more.
Given numbers are 302,840,140,961,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,840,140,961,728 is 1584612120.
Find LCM of 302,840,140,961,728 with Prime Factorization
| 2 | 302, 840, 140, 961, 728 |
| 2 | 151, 420, 70, 961, 364 |
| 2 | 151, 210, 35, 961, 182 |
| 5 | 151, 105, 35, 961, 91 |
| 7 | 151, 21, 7, 961, 91 |
| 151, 3, 1, 961, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 151 x 3 x 1 x 961 x 13 = 1584612120
Therefore, the lowest common multiple of 302,840,140,961,728 is 1584612120.
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.
302 x 840 x 140 x 961 x 728 = 24846718041600
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.
302 : 1, 2, 151, 302
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
961 : 1, 31, 961
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,840,140,961,728, is 1.
Now, the common factors can be found like this.
302:2x 151
840:2x 2x 2x 3x 5x 7
140:2x 2x 5x 7
961:31x 31
728:2x 2x 2x 7x 13
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 2x 2x 2x 5x 7x 7 = 15680
Therefore, the value for common factors is 15680.
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 = 24846718041600/(1x15680)
LCM = 24846718041600/15680
LCM = 1584612120
Thus, we can understand that the LCM of 302,840,140,961,728 is 1584612120.
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FAQs on LCM of 302, 840, 140, 961, 728
1. What is the LCM of 302, 840, 140, 961, 728?
Answer: LCM of 302, 840, 140, 961, 728 is 1584612120.
2. How to calculate the LCM of 302, 840, 140, 961, 728?
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 302, 840, 140, 961, 728.
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}.