LCM of 124, 672, 777, 838, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 672, 777, 838, 714 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 124, 672, 777, 838, 714. So, keep reading to learn more.
Given numbers are 124,672,777,838,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,672,777,838,714 is 5490294432.
Find LCM of 124,672,777,838,714 with Prime Factorization
| 2 | 124, 672, 777, 838, 714 |
| 2 | 62, 336, 777, 419, 357 |
| 3 | 31, 168, 777, 419, 357 |
| 7 | 31, 56, 259, 419, 119 |
| 31, 8, 37, 419, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 8 x 37 x 419 x 17 = 5490294432
Therefore, the lowest common multiple of 124,672,777,838,714 is 5490294432.
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.
124 x 672 x 777 x 838 x 714 = 38739517512192
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.
124 : 1, 2, 4, 31, 62, 124
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
777 : 1, 3, 7, 21, 37, 111, 259, 777
838 : 1, 2, 419, 838
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,672,777,838,714, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
672:2x 2x 2x 2x 2x 3x 7
777:3x 7x 37
838:2x 419
714:2x 3x 7x 17
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 3x 3x 7x 7 = 7056
Therefore, the value for common factors is 7056.
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 = 38739517512192/(1x7056)
LCM = 38739517512192/7056
LCM = 5490294432
Thus, we can understand that the LCM of 124,672,777,838,714 is 5490294432.
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FAQs on LCM of 124, 672, 777, 838, 714
1. What is the LCM of 124, 672, 777, 838, 714?
Answer: LCM of 124, 672, 777, 838, 714 is 5490294432.
2. How to calculate the LCM of 124, 672, 777, 838, 714?
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 124, 672, 777, 838, 714.
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}.