LCM of 949, 748, 862, 994, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 748, 862, 994, 420 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, 748, 862, 994, 420. So, keep reading to learn more.
Given numbers are 949,748,862,994,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,748,862,994,420 is 2280829010460.
Find LCM of 949,748,862,994,420 with Prime Factorization
| 2 | 949, 748, 862, 994, 420 |
| 2 | 949, 374, 431, 497, 210 |
| 7 | 949, 187, 431, 497, 105 |
| 949, 187, 431, 71, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 949 x 187 x 431 x 71 x 15 = 2280829010460
Therefore, the lowest common multiple of 949,748,862,994,420 is 2280829010460.
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 748 x 862 x 994 x 420 = 255452849171520
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
862 : 1, 2, 431, 862
994 : 1, 2, 7, 14, 71, 142, 497, 994
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,748,862,994,420, is 1.
Now, the common factors can be found like this.
949:13x 73
748:2x 2x 11x 17
862:2x 431
994:2x 7x 71
420:2x 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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 255452849171520/(1x112)
LCM = 255452849171520/112
LCM = 2280829010460
Thus, we can understand that the LCM of 949,748,862,994,420 is 2280829010460.
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FAQs on LCM of 949, 748, 862, 994, 420
1. What is the LCM of 949, 748, 862, 994, 420?
Answer: LCM of 949, 748, 862, 994, 420 is 2280829010460.
2. How to calculate the LCM of 949, 748, 862, 994, 420?
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, 748, 862, 994, 420.
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}.