LCM of 306, 748, 708, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 748, 708, 152 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 306, 748, 708, 152. So, keep reading to learn more.
Given numbers are 306,748,708,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,748,708,152 is 15093144.
Find LCM of 306,748,708,152 with Prime Factorization
| 2 | 306, 748, 708, 152 |
| 2 | 153, 374, 354, 76 |
| 3 | 153, 187, 177, 38 |
| 17 | 51, 187, 59, 38 |
| 3, 11, 59, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 3 x 11 x 59 x 38 = 15093144
Therefore, the lowest common multiple of 306,748,708,152 is 15093144.
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.
306 x 748 x 708 x 152 = 24632011008
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
152 : 1, 2, 4, 8, 19, 38, 76, 152
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,748,708,152, is 2.
Now, the common factors can be found like this.
306:2x 3x 3x 17
748:2x 2x 11x 17
708:2x 2x 3x 59
152:2x 2x 2x 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 2x 2x 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 24632011008/(2x816)
LCM = 24632011008/1632
LCM = 15093144
Thus, we can understand that the LCM of 306,748,708,152 is 15093144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 306, 748, 708, 152
1. What is the LCM of 306, 748, 708, 152?
Answer: LCM of 306, 748, 708, 152 is 15093144.
2. How to calculate the LCM of 306, 748, 708, 152?
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 306, 748, 708, 152.
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}.