LCM of 762, 507, 535, 974, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 507, 535, 974, 935 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 762, 507, 535, 974, 935. So, keep reading to learn more.
Given numbers are 762,507,535,974,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,507,535,974,935 is 6274310769870.
Find LCM of 762,507,535,974,935 with Prime Factorization
| 2 | 762, 507, 535, 974, 935 |
| 3 | 381, 507, 535, 487, 935 |
| 5 | 127, 169, 535, 487, 935 |
| 127, 169, 107, 487, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 127 x 169 x 107 x 487 x 187 = 6274310769870
Therefore, the lowest common multiple of 762,507,535,974,935 is 6274310769870.
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.
762 x 507 x 535 x 974 x 935 = 188229323096100
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
507 : 1, 3, 13, 39, 169, 507
535 : 1, 5, 107, 535
974 : 1, 2, 487, 974
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,507,535,974,935, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
507:3x 13x 13
535:5x 107
974:2x 487
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 188229323096100/(1x30)
LCM = 188229323096100/30
LCM = 6274310769870
Thus, we can understand that the LCM of 762,507,535,974,935 is 6274310769870.
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FAQs on LCM of 762, 507, 535, 974, 935
1. What is the LCM of 762, 507, 535, 974, 935?
Answer: LCM of 762, 507, 535, 974, 935 is 6274310769870.
2. How to calculate the LCM of 762, 507, 535, 974, 935?
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 762, 507, 535, 974, 935.
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}.