LCM of 949, 723, 745, 368, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 723, 745, 368, 840 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 949, 723, 745, 368, 840. So, keep reading to learn more.
Given numbers are 949,723,745,368,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,723,745,368,840 is 1316760048240.
Find LCM of 949,723,745,368,840 with Prime Factorization
| 2 | 949, 723, 745, 368, 840 |
| 2 | 949, 723, 745, 184, 420 |
| 2 | 949, 723, 745, 92, 210 |
| 3 | 949, 723, 745, 46, 105 |
| 5 | 949, 241, 745, 46, 35 |
| 949, 241, 149, 46, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 949 x 241 x 149 x 46 x 7 = 1316760048240
Therefore, the lowest common multiple of 949,723,745,368,840 is 1316760048240.
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.
949 x 723 x 745 x 368 x 840 = 158011205788800
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.
949 : 1, 13, 73, 949
723 : 1, 3, 241, 723
745 : 1, 5, 149, 745
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,723,745,368,840, is 1.
Now, the common factors can be found like this.
949:13x 73
723:3x 241
745:5x 149
368:2x 2x 2x 2x 23
840:2x 2x 2x 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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 158011205788800/(1x120)
LCM = 158011205788800/120
LCM = 1316760048240
Thus, we can understand that the LCM of 949,723,745,368,840 is 1316760048240.
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FAQs on LCM of 949, 723, 745, 368, 840
1. What is the LCM of 949, 723, 745, 368, 840?
Answer: LCM of 949, 723, 745, 368, 840 is 1316760048240.
2. How to calculate the LCM of 949, 723, 745, 368, 840?
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 949, 723, 745, 368, 840.
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}.