LCM of 978, 732, 724, 708, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 732, 724, 708, 604 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 978, 732, 724, 708, 604. So, keep reading to learn more.
Given numbers are 978,732,724,708,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,732,724,708,604 is 192400510164.
Find LCM of 978,732,724,708,604 with Prime Factorization
| 2 | 978, 732, 724, 708, 604 |
| 2 | 489, 366, 362, 354, 302 |
| 3 | 489, 183, 181, 177, 151 |
| 163, 61, 181, 59, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 61 x 181 x 59 x 151 = 192400510164
Therefore, the lowest common multiple of 978,732,724,708,604 is 192400510164.
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.
978 x 732 x 724 x 708 x 604 = 221645387708928
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
724 : 1, 2, 4, 181, 362, 724
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
604 : 1, 2, 4, 151, 302, 604
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,732,724,708,604, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
732:2x 2x 3x 61
724:2x 2x 181
708:2x 2x 3x 59
604:2x 2x 151
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 3 = 576
Therefore, the value for common factors is 576.
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 = 221645387708928/(2x576)
LCM = 221645387708928/1152
LCM = 192400510164
Thus, we can understand that the LCM of 978,732,724,708,604 is 192400510164.
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FAQs on LCM of 978, 732, 724, 708, 604
1. What is the LCM of 978, 732, 724, 708, 604?
Answer: LCM of 978, 732, 724, 708, 604 is 192400510164.
2. How to calculate the LCM of 978, 732, 724, 708, 604?
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 978, 732, 724, 708, 604.
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}.