LCM of 778, 528, 346, 627, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 528, 346, 627, 309 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 778, 528, 346, 627, 309. So, keep reading to learn more.
Given numbers are 778,528,346,627,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,528,346,627,309 is 69537720912.
Find LCM of 778,528,346,627,309 with Prime Factorization
| 2 | 778, 528, 346, 627, 309 |
| 3 | 389, 264, 173, 627, 309 |
| 11 | 389, 88, 173, 209, 103 |
| 389, 8, 173, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 389 x 8 x 173 x 19 x 103 = 69537720912
Therefore, the lowest common multiple of 778,528,346,627,309 is 69537720912.
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.
778 x 528 x 346 x 627 x 309 = 27536937481152
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.
778 : 1, 2, 389, 778
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
346 : 1, 2, 173, 346
627 : 1, 3, 11, 19, 33, 57, 209, 627
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,528,346,627,309, is 1.
Now, the common factors can be found like this.
778:2x 389
528:2x 2x 2x 2x 3x 11
346:2x 173
627:3x 11x 19
309:3x 103
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 11 = 396
Therefore, the value for common factors is 396.
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 = 27536937481152/(1x396)
LCM = 27536937481152/396
LCM = 69537720912
Thus, we can understand that the LCM of 778,528,346,627,309 is 69537720912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 528, 346, 627, 309
1. What is the LCM of 778, 528, 346, 627, 309?
Answer: LCM of 778, 528, 346, 627, 309 is 69537720912.
2. How to calculate the LCM of 778, 528, 346, 627, 309?
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 778, 528, 346, 627, 309.
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}.