Find the LCM of 702, 132, 705, 314, 545 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 702, 132, 705, 314, 545. So, keep reading to learn more.
Given numbers are 702,132,705,314,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,132,705,314,545 is 62108895420.
Find LCM of 702,132,705,314,545 with Prime Factorization
2 | 702, 132, 705, 314, 545 |
3 | 351, 66, 705, 157, 545 |
5 | 117, 22, 235, 157, 545 |
117, 22, 47, 157, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 117 x 22 x 47 x 157 x 109 = 62108895420
Therefore, the lowest common multiple of 702,132,705,314,545 is 62108895420.
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.
702 x 132 x 705 x 314 x 545 = 11179601175600
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
705 : 1, 3, 5, 15, 47, 141, 235, 705
314 : 1, 2, 157, 314
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,132,705,314,545, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
132:2x 2x 3x 11
705:3x 5x 47
314:2x 157
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 11179601175600/(1x180)
LCM = 11179601175600/180
LCM = 62108895420
Thus, we can understand that the LCM of 702,132,705,314,545 is 62108895420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 132, 705, 314, 545?
Answer: LCM of 702, 132, 705, 314, 545 is 62108895420.
2. How to calculate the LCM of 702, 132, 705, 314, 545?
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 702, 132, 705, 314, 545.
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}.