LCM of 123, 319, 984, 703, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 319, 984, 703, 748 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 123, 319, 984, 703, 748. So, keep reading to learn more.
Given numbers are 123,319,984,703,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,319,984,703,748 is 3751371096.
Find LCM of 123,319,984,703,748 with Prime Factorization
| 2 | 123, 319, 984, 703, 748 |
| 2 | 123, 319, 492, 703, 374 |
| 3 | 123, 319, 246, 703, 187 |
| 11 | 41, 319, 82, 703, 187 |
| 41 | 41, 29, 82, 703, 17 |
| 1, 29, 2, 703, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 41 x 1 x 29 x 2 x 703 x 17 = 3751371096
Therefore, the lowest common multiple of 123,319,984,703,748 is 3751371096.
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.
123 x 319 x 984 x 703 x 748 = 20302420371552
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.
123 : 1, 3, 41, 123
319 : 1, 11, 29, 319
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
703 : 1, 19, 37, 703
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,319,984,703,748, is 1.
Now, the common factors can be found like this.
123:3x 41
319:11x 29
984:2x 2x 2x 3x 41
703:19x 37
748:2x 2x 11x 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 3x 11x 41 = 5412
Therefore, the value for common factors is 5412.
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 = 20302420371552/(1x5412)
LCM = 20302420371552/5412
LCM = 3751371096
Thus, we can understand that the LCM of 123,319,984,703,748 is 3751371096.
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FAQs on LCM of 123, 319, 984, 703, 748
1. What is the LCM of 123, 319, 984, 703, 748?
Answer: LCM of 123, 319, 984, 703, 748 is 3751371096.
2. How to calculate the LCM of 123, 319, 984, 703, 748?
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 123, 319, 984, 703, 748.
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}.