LCM of 942, 989, 784, 763, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 989, 784, 763, 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 942, 989, 784, 763, 612. So, keep reading to learn more.
Given numbers are 942,989,784,763,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,989,784,763,612 is 2030158451664.
Find LCM of 942,989,784,763,612 with Prime Factorization
| 2 | 942, 989, 784, 763, 612 |
| 2 | 471, 989, 392, 763, 306 |
| 3 | 471, 989, 196, 763, 153 |
| 7 | 157, 989, 196, 763, 51 |
| 157, 989, 28, 109, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 157 x 989 x 28 x 109 x 51 = 2030158451664
Therefore, the lowest common multiple of 942,989,784,763,612 is 2030158451664.
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.
942 x 989 x 784 x 763 x 612 = 341066619879552
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
989 : 1, 23, 43, 989
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
763 : 1, 7, 109, 763
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 942,989,784,763,612, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
989:23x 43
784:2x 2x 2x 2x 7x 7
763:7x 109
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 7 = 168
Therefore, the value for common factors is 168.
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 = 341066619879552/(1x168)
LCM = 341066619879552/168
LCM = 2030158451664
Thus, we can understand that the LCM of 942,989,784,763,612 is 2030158451664.
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FAQs on LCM of 942, 989, 784, 763, 612
1. What is the LCM of 942, 989, 784, 763, 612?
Answer: LCM of 942, 989, 784, 763, 612 is 2030158451664.
2. How to calculate the LCM of 942, 989, 784, 763, 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 942, 989, 784, 763, 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}.