LCM of 357, 901, 737, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 901, 737, 967 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 357, 901, 737, 967. So, keep reading to learn more.
Given numbers are 357,901,737,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,901,737,967 is 13484599359.
Find LCM of 357,901,737,967 with Prime Factorization
| 17 | 357, 901, 737, 967 |
| 21, 53, 737, 967 |
Multiply the prime numbers at the bottom and the left side.
17 x 21 x 53 x 737 x 967 = 13484599359
Therefore, the lowest common multiple of 357,901,737,967 is 13484599359.
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.
357 x 901 x 737 x 967 = 229238189103
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
901 : 1, 17, 53, 901
737 : 1, 11, 67, 737
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,901,737,967, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
901:17x 53
737:11x 67
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 229238189103/(1x17)
LCM = 229238189103/17
LCM = 13484599359
Thus, we can understand that the LCM of 357,901,737,967 is 13484599359.
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FAQs on LCM of 357, 901, 737, 967
1. What is the LCM of 357, 901, 737, 967?
Answer: LCM of 357, 901, 737, 967 is 13484599359.
2. How to calculate the LCM of 357, 901, 737, 967?
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 357, 901, 737, 967.
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}.