LCM of 762, 688, 120, 120, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 688, 120, 120, 708 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 762, 688, 120, 120, 708. So, keep reading to learn more.
Given numbers are 762,688,120,120,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,688,120,120,708 is 77327760.
Find LCM of 762,688,120,120,708 with Prime Factorization
| 2 | 762, 688, 120, 120, 708 |
| 2 | 381, 344, 60, 60, 354 |
| 2 | 381, 172, 30, 30, 177 |
| 3 | 381, 86, 15, 15, 177 |
| 5 | 127, 86, 5, 5, 59 |
| 127, 86, 1, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 127 x 86 x 1 x 1 x 59 = 77327760
Therefore, the lowest common multiple of 762,688,120,120,708 is 77327760.
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.
762 x 688 x 120 x 120 x 708 = 5344894771200
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,688,120,120,708, is 2.
Now, the common factors can be found like this.
762:2x 3x 127
688:2x 2x 2x 2x 43
120:2x 2x 2x 3x 5
120:2x 2x 2x 3x 5
708:2x 2x 3x 59
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 2x 2x 3x 3x 3x 5 = 34560
Therefore, the value for common factors is 34560.
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 = 5344894771200/(2x34560)
LCM = 5344894771200/69120
LCM = 77327760
Thus, we can understand that the LCM of 762,688,120,120,708 is 77327760.
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FAQs on LCM of 762, 688, 120, 120, 708
1. What is the LCM of 762, 688, 120, 120, 708?
Answer: LCM of 762, 688, 120, 120, 708 is 77327760.
2. How to calculate the LCM of 762, 688, 120, 120, 708?
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 762, 688, 120, 120, 708.
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}.