LCM of 714, 758, 594, 969, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 758, 594, 969, 612 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 714, 758, 594, 969, 612. So, keep reading to learn more.
Given numbers are 714,758,594,969,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,758,594,969,612 is 1018019772.
Find LCM of 714,758,594,969,612 with Prime Factorization
| 2 | 714, 758, 594, 969, 612 |
| 3 | 357, 379, 297, 969, 306 |
| 3 | 119, 379, 99, 323, 102 |
| 17 | 119, 379, 33, 323, 34 |
| 7, 379, 33, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 7 x 379 x 33 x 19 x 2 = 1018019772
Therefore, the lowest common multiple of 714,758,594,969,612 is 1018019772.
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.
714 x 758 x 594 x 969 x 612 = 190646598741984
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
758 : 1, 2, 379, 758
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
969 : 1, 3, 17, 19, 51, 57, 323, 969
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,758,594,969,612, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
758:2x 379
594:2x 3x 3x 3x 11
969:3x 17x 19
612:2x 2x 3x 3x 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 3x 3x 3x 3x 17x 17 = 187272
Therefore, the value for common factors is 187272.
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 = 190646598741984/(1x187272)
LCM = 190646598741984/187272
LCM = 1018019772
Thus, we can understand that the LCM of 714,758,594,969,612 is 1018019772.
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FAQs on LCM of 714, 758, 594, 969, 612
1. What is the LCM of 714, 758, 594, 969, 612?
Answer: LCM of 714, 758, 594, 969, 612 is 1018019772.
2. How to calculate the LCM of 714, 758, 594, 969, 612?
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 714, 758, 594, 969, 612.
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}.