LCM of 478, 241, 700, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 241, 700, 964 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 478, 241, 700, 964. So, keep reading to learn more.
Given numbers are 478,241,700,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,241,700,964 is 40319300.
Find LCM of 478,241,700,964 with Prime Factorization
| 2 | 478, 241, 700, 964 |
| 2 | 239, 241, 350, 482 |
| 241 | 239, 241, 175, 241 |
| 239, 1, 175, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 241 x 239 x 1 x 175 x 1 = 40319300
Therefore, the lowest common multiple of 478,241,700,964 is 40319300.
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.
478 x 241 x 700 x 964 = 77735610400
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.
478 : 1, 2, 239, 478
241 : 1, 241
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,241,700,964, is 1.
Now, the common factors can be found like this.
478:2x 239
241:241
700:2x 2x 5x 5x 7
964:2x 2x 241
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 241 = 1928
Therefore, the value for common factors is 1928.
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 = 77735610400/(1x1928)
LCM = 77735610400/1928
LCM = 40319300
Thus, we can understand that the LCM of 478,241,700,964 is 40319300.
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FAQs on LCM of 478, 241, 700, 964
1. What is the LCM of 478, 241, 700, 964?
Answer: LCM of 478, 241, 700, 964 is 40319300.
2. How to calculate the LCM of 478, 241, 700, 964?
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 478, 241, 700, 964.
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}.