Find the LCM of 702, 544, 319, 354, 626 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, 544, 319, 354, 626. So, keep reading to learn more.
Given numbers are 702,544,319,354,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,544,319,354,626 is 1124845948512.
Find LCM of 702,544,319,354,626 with Prime Factorization
2 | 702, 544, 319, 354, 626 |
3 | 351, 272, 319, 177, 313 |
117, 272, 319, 59, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 117 x 272 x 319 x 59 x 313 = 1124845948512
Therefore, the lowest common multiple of 702,544,319,354,626 is 1124845948512.
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 544 x 319 x 354 x 626 = 26996302764288
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
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
319 : 1, 11, 29, 319
354 : 1, 2, 3, 6, 59, 118, 177, 354
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,544,319,354,626, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
544:2x 2x 2x 2x 2x 17
319:11x 29
354:2x 3x 59
626:2x 313
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 26996302764288/(1x24)
LCM = 26996302764288/24
LCM = 1124845948512
Thus, we can understand that the LCM of 702,544,319,354,626 is 1124845948512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 544, 319, 354, 626?
Answer: LCM of 702, 544, 319, 354, 626 is 1124845948512.
2. How to calculate the LCM of 702, 544, 319, 354, 626?
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, 544, 319, 354, 626.
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}.