Find the LCM of 762, 254, 757, 901 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, 254, 757, 901. So, keep reading to learn more.
Given numbers are 762,254,757,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,254,757,901 is 519727434.
Find LCM of 762,254,757,901 with Prime Factorization
2 | 762, 254, 757, 901 |
127 | 381, 127, 757, 901 |
3, 1, 757, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 3 x 1 x 757 x 901 = 519727434
Therefore, the lowest common multiple of 762,254,757,901 is 519727434.
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 254 x 757 x 901 = 132010768236
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
254 : 1, 2, 127, 254
757 : 1, 757
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,254,757,901, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
254:2x 127
757:757
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127 = 254
Therefore, the value for common factors is 254.
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 = 132010768236/(1x254)
LCM = 132010768236/254
LCM = 519727434
Thus, we can understand that the LCM of 762,254,757,901 is 519727434.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 254, 757, 901?
Answer: LCM of 762, 254, 757, 901 is 519727434.
2. How to calculate the LCM of 762, 254, 757, 901?
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, 254, 757, 901.
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}.