Find the LCM of 834, 478, 478, 679, 670 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 834, 478, 478, 679, 670. So, keep reading to learn more.
Given numbers are 834,478,478,679,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,478,478,679,670 is 45339688590.
Find LCM of 834,478,478,679,670 with Prime Factorization
2 | 834, 478, 478, 679, 670 |
239 | 417, 239, 239, 679, 335 |
417, 1, 1, 679, 335 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 417 x 1 x 1 x 679 x 335 = 45339688590
Therefore, the lowest common multiple of 834,478,478,679,670 is 45339688590.
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.
834 x 478 x 478 x 679 x 670 = 86689484584080
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
478 : 1, 2, 239, 478
478 : 1, 2, 239, 478
679 : 1, 7, 97, 679
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,478,478,679,670, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
478:2x 239
478:2x 239
679:7x 97
670:2x 5x 67
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 239 = 1912
Therefore, the value for common factors is 1912.
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 = 86689484584080/(1x1912)
LCM = 86689484584080/1912
LCM = 45339688590
Thus, we can understand that the LCM of 834,478,478,679,670 is 45339688590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 478, 478, 679, 670?
Answer: LCM of 834, 478, 478, 679, 670 is 45339688590.
2. How to calculate the LCM of 834, 478, 478, 679, 670?
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 834, 478, 478, 679, 670.
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}.