LCM of 945, 297, 467, 762, 769
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 297, 467, 762, 769 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 945, 297, 467, 762, 769. So, keep reading to learn more.
Given numbers are 945,297,467,762,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,297,467,762,769 is 948203230590.
Find LCM of 945,297,467,762,769 with Prime Factorization
| 3 | 945, 297, 467, 762, 769 |
| 3 | 315, 99, 467, 254, 769 |
| 3 | 105, 33, 467, 254, 769 |
| 35, 11, 467, 254, 769 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 35 x 11 x 467 x 254 x 769 = 948203230590
Therefore, the lowest common multiple of 945,297,467,762,769 is 948203230590.
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.
945 x 297 x 467 x 762 x 769 = 76804461677790
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
297 : 1, 3, 9, 11, 27, 33, 99, 297
467 : 1, 467
762 : 1, 2, 3, 6, 127, 254, 381, 762
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,297,467,762,769, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
297:3x 3x 3x 11
467:467
762:2x 3x 127
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 76804461677790/(1x81)
LCM = 76804461677790/81
LCM = 948203230590
Thus, we can understand that the LCM of 945,297,467,762,769 is 948203230590.
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FAQs on LCM of 945, 297, 467, 762, 769
1. What is the LCM of 945, 297, 467, 762, 769?
Answer: LCM of 945, 297, 467, 762, 769 is 948203230590.
2. How to calculate the LCM of 945, 297, 467, 762, 769?
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 945, 297, 467, 762, 769.
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}.