LCM of 978, 369, 420, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 369, 420, 722 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, 369, 420, 722. So, keep reading to learn more.
Given numbers are 978,369,420,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,369,420,722 is 3039829380.
Find LCM of 978,369,420,722 with Prime Factorization
| 2 | 978, 369, 420, 722 |
| 3 | 489, 369, 210, 361 |
| 163, 123, 70, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 123 x 70 x 361 = 3039829380
Therefore, the lowest common multiple of 978,369,420,722 is 3039829380.
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 369 x 420 x 722 = 109433857680
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
369 : 1, 3, 9, 41, 123, 369
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,369,420,722, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
369:3x 3x 41
420:2x 2x 3x 5x 7
722:2x 19x 19
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 3 = 36
Therefore, the value for common factors is 36.
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 = 109433857680/(1x36)
LCM = 109433857680/36
LCM = 3039829380
Thus, we can understand that the LCM of 978,369,420,722 is 3039829380.
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FAQs on LCM of 978, 369, 420, 722
1. What is the LCM of 978, 369, 420, 722?
Answer: LCM of 978, 369, 420, 722 is 3039829380.
2. How to calculate the LCM of 978, 369, 420, 722?
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, 369, 420, 722.
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}.