LCM of 943, 690, 667, 782, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 690, 667, 782, 378 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 943, 690, 667, 782, 378. So, keep reading to learn more.
Given numbers are 943,690,667,782,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,690,667,782,378 is 878659110.
Find LCM of 943,690,667,782,378 with Prime Factorization
| 2 | 943, 690, 667, 782, 378 |
| 3 | 943, 345, 667, 391, 189 |
| 23 | 943, 115, 667, 391, 63 |
| 41, 5, 29, 17, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 41 x 5 x 29 x 17 x 63 = 878659110
Therefore, the lowest common multiple of 943,690,667,782,378 is 878659110.
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.
943 x 690 x 667 x 782 x 378 = 128287744696440
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.
943 : 1, 23, 41, 943
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
667 : 1, 23, 29, 667
782 : 1, 2, 17, 23, 34, 46, 391, 782
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,690,667,782,378, is 1.
Now, the common factors can be found like this.
943:23x 41
690:2x 3x 5x 23
667:23x 29
782:2x 17x 23
378:2x 3x 3x 3x 7
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 23x 23x 23 = 146004
Therefore, the value for common factors is 146004.
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 = 128287744696440/(1x146004)
LCM = 128287744696440/146004
LCM = 878659110
Thus, we can understand that the LCM of 943,690,667,782,378 is 878659110.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 943, 690, 667, 782, 378
1. What is the LCM of 943, 690, 667, 782, 378?
Answer: LCM of 943, 690, 667, 782, 378 is 878659110.
2. How to calculate the LCM of 943, 690, 667, 782, 378?
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 943, 690, 667, 782, 378.
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}.