LCM of 837, 763, 109, 705, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 763, 109, 705, 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 837, 763, 109, 705, 378. So, keep reading to learn more.
Given numbers are 837,763,109,705,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,763,109,705,378 is 300156570.
Find LCM of 837,763,109,705,378 with Prime Factorization
| 3 | 837, 763, 109, 705, 378 |
| 3 | 279, 763, 109, 235, 126 |
| 3 | 93, 763, 109, 235, 42 |
| 7 | 31, 763, 109, 235, 14 |
| 109 | 31, 109, 109, 235, 2 |
| 31, 1, 1, 235, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 109 x 31 x 1 x 1 x 235 x 2 = 300156570
Therefore, the lowest common multiple of 837,763,109,705,378 is 300156570.
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.
837 x 763 x 109 x 705 x 378 = 18550576495710
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
763 : 1, 7, 109, 763
109 : 1, 109
705 : 1, 3, 5, 15, 47, 141, 235, 705
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 837,763,109,705,378, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
763:7x 109
109:109
705:3x 5x 47
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.
3x 3x 3x 3x 7x 109 = 61803
Therefore, the value for common factors is 61803.
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 = 18550576495710/(1x61803)
LCM = 18550576495710/61803
LCM = 300156570
Thus, we can understand that the LCM of 837,763,109,705,378 is 300156570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 837, 763, 109, 705, 378
1. What is the LCM of 837, 763, 109, 705, 378?
Answer: LCM of 837, 763, 109, 705, 378 is 300156570.
2. How to calculate the LCM of 837, 763, 109, 705, 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 837, 763, 109, 705, 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}.