LCM of 967, 994, 909, 304, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 994, 909, 304, 707 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 967, 994, 909, 304, 707. So, keep reading to learn more.
Given numbers are 967,994,909,304,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,994,909,304,707 is 132806805264.
Find LCM of 967,994,909,304,707 with Prime Factorization
| 2 | 967, 994, 909, 304, 707 |
| 7 | 967, 497, 909, 152, 707 |
| 101 | 967, 71, 909, 152, 101 |
| 967, 71, 9, 152, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 101 x 967 x 71 x 9 x 152 x 1 = 132806805264
Therefore, the lowest common multiple of 967,994,909,304,707 is 132806805264.
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.
967 x 994 x 909 x 304 x 707 = 187788822643296
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.
967 : 1, 967
994 : 1, 2, 7, 14, 71, 142, 497, 994
909 : 1, 3, 9, 101, 303, 909
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,994,909,304,707, is 1.
Now, the common factors can be found like this.
967:967
994:2x 7x 71
909:3x 3x 101
304:2x 2x 2x 2x 19
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 101 = 1414
Therefore, the value for common factors is 1414.
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 = 187788822643296/(1x1414)
LCM = 187788822643296/1414
LCM = 132806805264
Thus, we can understand that the LCM of 967,994,909,304,707 is 132806805264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 994, 909, 304, 707
1. What is the LCM of 967, 994, 909, 304, 707?
Answer: LCM of 967, 994, 909, 304, 707 is 132806805264.
2. How to calculate the LCM of 967, 994, 909, 304, 707?
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 967, 994, 909, 304, 707.
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}.