Find the LCM of 701, 689, 669, 636, 749 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, 689, 669, 636, 749. So, keep reading to learn more.
Given numbers are 701,689,669,636,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,689,669,636,749 is 968066444436.
Find LCM of 701,689,669,636,749 with Prime Factorization
3 | 701, 689, 669, 636, 749 |
53 | 701, 689, 223, 212, 749 |
701, 13, 223, 4, 749 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 701 x 13 x 223 x 4 x 749 = 968066444436
Therefore, the lowest common multiple of 701,689,669,636,749 is 968066444436.
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 689 x 669 x 636 x 749 = 153922564665324
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
689 : 1, 13, 53, 689
669 : 1, 3, 223, 669
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,689,669,636,749, is 1.
Now, the common factors can be found like this.
701:701
689:13x 53
669:3x 223
636:2x 2x 3x 53
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 53 = 159
Therefore, the value for common factors is 159.
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 = 153922564665324/(1x159)
LCM = 153922564665324/159
LCM = 968066444436
Thus, we can understand that the LCM of 701,689,669,636,749 is 968066444436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 689, 669, 636, 749?
Answer: LCM of 701, 689, 669, 636, 749 is 968066444436.
2. How to calculate the LCM of 701, 689, 669, 636, 749?
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, 689, 669, 636, 749.
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}.