LCM of 948, 889, 142, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 889, 142, 672 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 948, 889, 142, 672. So, keep reading to learn more.
Given numbers are 948,889,142,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,889,142,672 is 478694496.
Find LCM of 948,889,142,672 with Prime Factorization
| 2 | 948, 889, 142, 672 |
| 2 | 474, 889, 71, 336 |
| 3 | 237, 889, 71, 168 |
| 7 | 79, 889, 71, 56 |
| 79, 127, 71, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 79 x 127 x 71 x 8 = 478694496
Therefore, the lowest common multiple of 948,889,142,672 is 478694496.
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.
948 x 889 x 142 x 672 = 80420675328
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
889 : 1, 7, 127, 889
142 : 1, 2, 71, 142
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,889,142,672, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
889:7x 127
142:2x 71
672:2x 2x 2x 2x 2x 3x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 80420675328/(1x168)
LCM = 80420675328/168
LCM = 478694496
Thus, we can understand that the LCM of 948,889,142,672 is 478694496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 948, 889, 142, 672
1. What is the LCM of 948, 889, 142, 672?
Answer: LCM of 948, 889, 142, 672 is 478694496.
2. How to calculate the LCM of 948, 889, 142, 672?
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 948, 889, 142, 672.
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}.