LCM of 372, 429, 708, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 429, 708, 978 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 372, 429, 708, 978. So, keep reading to learn more.
Given numbers are 372,429,708,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,429,708,978 is 511585932.
Find LCM of 372,429,708,978 with Prime Factorization
| 2 | 372, 429, 708, 978 |
| 2 | 186, 429, 354, 489 |
| 3 | 93, 429, 177, 489 |
| 31, 143, 59, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 143 x 59 x 163 = 511585932
Therefore, the lowest common multiple of 372,429,708,978 is 511585932.
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.
372 x 429 x 708 x 978 = 110502561312
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
429 : 1, 3, 11, 13, 33, 39, 143, 429
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
978 : 1, 2, 3, 6, 163, 326, 489, 978
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,429,708,978, is 3.
Now, the common factors can be found like this.
372:2x 2x 3x 31
429:3x 11x 13
708:2x 2x 3x 59
978:2x 3x 163
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 3 = 72
Therefore, the value for common factors is 72.
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 = 110502561312/(3x72)
LCM = 110502561312/216
LCM = 511585932
Thus, we can understand that the LCM of 372,429,708,978 is 511585932.
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FAQs on LCM of 372, 429, 708, 978
1. What is the LCM of 372, 429, 708, 978?
Answer: LCM of 372, 429, 708, 978 is 511585932.
2. How to calculate the LCM of 372, 429, 708, 978?
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 372, 429, 708, 978.
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}.