LCM of 148, 629, 210, 679, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 629, 210, 679, 756 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 148, 629, 210, 679, 756. So, keep reading to learn more.
Given numbers are 148,629,210,679,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,629,210,679,756 is 230629140.
Find LCM of 148,629,210,679,756 with Prime Factorization
| 2 | 148, 629, 210, 679, 756 |
| 2 | 74, 629, 105, 679, 378 |
| 3 | 37, 629, 105, 679, 189 |
| 7 | 37, 629, 35, 679, 63 |
| 37 | 37, 629, 5, 97, 9 |
| 1, 17, 5, 97, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 1 x 17 x 5 x 97 x 9 = 230629140
Therefore, the lowest common multiple of 148,629,210,679,756 is 230629140.
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.
148 x 629 x 210 x 679 x 756 = 10035135139680
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.
148 : 1, 2, 4, 37, 74, 148
629 : 1, 17, 37, 629
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
679 : 1, 7, 97, 679
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,629,210,679,756, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
629:17x 37
210:2x 3x 5x 7
679:7x 97
756:2x 2x 3x 3x 3x 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 7x 7x 37 = 43512
Therefore, the value for common factors is 43512.
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 = 10035135139680/(1x43512)
LCM = 10035135139680/43512
LCM = 230629140
Thus, we can understand that the LCM of 148,629,210,679,756 is 230629140.
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FAQs on LCM of 148, 629, 210, 679, 756
1. What is the LCM of 148, 629, 210, 679, 756?
Answer: LCM of 148, 629, 210, 679, 756 is 230629140.
2. How to calculate the LCM of 148, 629, 210, 679, 756?
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 148, 629, 210, 679, 756.
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}.