LCM of 708, 456, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 456, 974 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 708, 456, 974. So, keep reading to learn more.
Given numbers are 708,456,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,456,974 is 13102248.
Find LCM of 708,456,974 with Prime Factorization
| 2 | 708, 456, 974 |
| 2 | 354, 228, 487 |
| 3 | 177, 114, 487 |
| 59, 38, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 38 x 487 = 13102248
Therefore, the lowest common multiple of 708,456,974 is 13102248.
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.
708 x 456 x 974 = 314453952
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
974 : 1, 2, 487, 974
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,456,974, is 2.
Now, the common factors can be found like this.
708:2x 2x 3x 59
456:2x 2x 2x 3x 19
974:2x 487
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 3 = 12
Therefore, the value for common factors is 12.
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 = 314453952/(2x12)
LCM = 314453952/24
LCM = 13102248
Thus, we can understand that the LCM of 708,456,974 is 13102248.
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FAQs on LCM of 708, 456, 974
1. What is the LCM of 708, 456, 974?
Answer: LCM of 708, 456, 974 is 13102248.
2. How to calculate the LCM of 708, 456, 974?
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 708, 456, 974.
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}.