LCM of 778, 708, 109, 872, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 708, 109, 872, 144 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, 708, 109, 872, 144. So, keep reading to learn more.
Given numbers are 778,708,109,872,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,708,109,872,144 is 360238896.
Find LCM of 778,708,109,872,144 with Prime Factorization
| 2 | 778, 708, 109, 872, 144 |
| 2 | 389, 354, 109, 436, 72 |
| 2 | 389, 177, 109, 218, 36 |
| 3 | 389, 177, 109, 109, 18 |
| 109 | 389, 59, 109, 109, 6 |
| 389, 59, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 109 x 389 x 59 x 1 x 1 x 6 = 360238896
Therefore, the lowest common multiple of 778,708,109,872,144 is 360238896.
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 708 x 109 x 872 x 144 = 7539079615488
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
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
109 : 1, 109
872 : 1, 2, 4, 8, 109, 218, 436, 872
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,708,109,872,144, is 1.
Now, the common factors can be found like this.
778:2x 389
708:2x 2x 3x 59
109:109
872:2x 2x 2x 109
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 3x 109 = 20928
Therefore, the value for common factors is 20928.
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 = 7539079615488/(1x20928)
LCM = 7539079615488/20928
LCM = 360238896
Thus, we can understand that the LCM of 778,708,109,872,144 is 360238896.
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FAQs on LCM of 778, 708, 109, 872, 144
1. What is the LCM of 778, 708, 109, 872, 144?
Answer: LCM of 778, 708, 109, 872, 144 is 360238896.
2. How to calculate the LCM of 778, 708, 109, 872, 144?
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, 708, 109, 872, 144.
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}.