LCM of 483, 708, 669, 492, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 708, 669, 492, 764 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 483, 708, 669, 492, 764. So, keep reading to learn more.
Given numbers are 483,708,669,492,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,708,669,492,764 is 199058726244.
Find LCM of 483,708,669,492,764 with Prime Factorization
| 2 | 483, 708, 669, 492, 764 |
| 2 | 483, 354, 669, 246, 382 |
| 3 | 483, 177, 669, 123, 191 |
| 161, 59, 223, 41, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 161 x 59 x 223 x 41 x 191 = 199058726244
Therefore, the lowest common multiple of 483,708,669,492,764 is 199058726244.
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.
483 x 708 x 669 x 492 x 764 = 85993369737408
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
669 : 1, 3, 223, 669
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,708,669,492,764, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
708:2x 2x 3x 59
669:3x 223
492:2x 2x 3x 41
764:2x 2x 191
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 85993369737408/(1x432)
LCM = 85993369737408/432
LCM = 199058726244
Thus, we can understand that the LCM of 483,708,669,492,764 is 199058726244.
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FAQs on LCM of 483, 708, 669, 492, 764
1. What is the LCM of 483, 708, 669, 492, 764?
Answer: LCM of 483, 708, 669, 492, 764 is 199058726244.
2. How to calculate the LCM of 483, 708, 669, 492, 764?
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 483, 708, 669, 492, 764.
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}.