Find the LCM of 701, 781, 676, 762 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 701, 781, 676, 762. So, keep reading to learn more.
Given numbers are 701,781,676,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,781,676,762 is 141007016436.
Find LCM of 701,781,676,762 with Prime Factorization
2 | 701, 781, 676, 762 |
701, 781, 338, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 701 x 781 x 338 x 381 = 141007016436
Therefore, the lowest common multiple of 701,781,676,762 is 141007016436.
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.
701 x 781 x 676 x 762 = 282014032872
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.
701 : 1, 701
781 : 1, 11, 71, 781
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,781,676,762, is 1.
Now, the common factors can be found like this.
701:701
781:11x 71
676:2x 2x 13x 13
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 282014032872/(1x2)
LCM = 282014032872/2
LCM = 141007016436
Thus, we can understand that the LCM of 701,781,676,762 is 141007016436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 781, 676, 762?
Answer: LCM of 701, 781, 676, 762 is 141007016436.
2. How to calculate the LCM of 701, 781, 676, 762?
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 701, 781, 676, 762.
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}.