LCM of 118, 756, 931, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 756, 931, 369 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 118, 756, 931, 369. So, keep reading to learn more.
Given numbers are 118,756,931,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,756,931,369 is 243225612.
Find LCM of 118,756,931,369 with Prime Factorization
| 2 | 118, 756, 931, 369 |
| 3 | 59, 378, 931, 369 |
| 3 | 59, 126, 931, 123 |
| 7 | 59, 42, 931, 41 |
| 59, 6, 133, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 59 x 6 x 133 x 41 = 243225612
Therefore, the lowest common multiple of 118,756,931,369 is 243225612.
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.
118 x 756 x 931 x 369 = 30646427112
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.
118 : 1, 2, 59, 118
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
931 : 1, 7, 19, 49, 133, 931
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,756,931,369, is 1.
Now, the common factors can be found like this.
118:2x 59
756:2x 2x 3x 3x 3x 7
931:7x 7x 19
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 30646427112/(1x126)
LCM = 30646427112/126
LCM = 243225612
Thus, we can understand that the LCM of 118,756,931,369 is 243225612.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 756, 931, 369
1. What is the LCM of 118, 756, 931, 369?
Answer: LCM of 118, 756, 931, 369 is 243225612.
2. How to calculate the LCM of 118, 756, 931, 369?
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 118, 756, 931, 369.
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}.