LCM of 420, 378, 744, 776, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 378, 744, 776, 712 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 420, 378, 744, 776, 712. So, keep reading to learn more.
Given numbers are 420,378,744,776,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,378,744,776,712 is 2023229880.
Find LCM of 420,378,744,776,712 with Prime Factorization
| 2 | 420, 378, 744, 776, 712 |
| 2 | 210, 189, 372, 388, 356 |
| 2 | 105, 189, 186, 194, 178 |
| 3 | 105, 189, 93, 97, 89 |
| 7 | 35, 63, 31, 97, 89 |
| 5, 9, 31, 97, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 5 x 9 x 31 x 97 x 89 = 2023229880
Therefore, the lowest common multiple of 420,378,744,776,712 is 2023229880.
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.
420 x 378 x 744 x 776 x 712 = 65261303009280
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.
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
776 : 1, 2, 4, 8, 97, 194, 388, 776
712 : 1, 2, 4, 8, 89, 178, 356, 712
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,378,744,776,712, is 2.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
378:2x 3x 3x 3x 7
744:2x 2x 2x 3x 31
776:2x 2x 2x 97
712:2x 2x 2x 89
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 2x 2x 3x 3x 7 = 16128
Therefore, the value for common factors is 16128.
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 = 65261303009280/(2x16128)
LCM = 65261303009280/32256
LCM = 2023229880
Thus, we can understand that the LCM of 420,378,744,776,712 is 2023229880.
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FAQs on LCM of 420, 378, 744, 776, 712
1. What is the LCM of 420, 378, 744, 776, 712?
Answer: LCM of 420, 378, 744, 776, 712 is 2023229880.
2. How to calculate the LCM of 420, 378, 744, 776, 712?
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 420, 378, 744, 776, 712.
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}.