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LCM of 142, 210, 282, 889

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 142, 210, 282, 889 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 142, 210, 282, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,210,282,889

Given numbers are 142,210,282,889

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 142,210,282,889 is 88997790.

Find LCM of 142,210,282,889 with Prime Factorization


2 142, 210, 282, 889
3 71, 105, 141, 889
7 71, 35, 47, 889
71, 5, 47, 127

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 71 x 5 x 47 x 127 = 88997790

Therefore, the lowest common multiple of 142,210,282,889 is 88997790.

LCM Formula to Find Lowest Common Multiple of 142,210,282,889

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.

142 x 210 x 282 x 889 = 7475814360

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.

142 : 1, 2, 71, 142

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

282 : 1, 2, 3, 6, 47, 94, 141, 282

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,210,282,889, is 1.

Now, the common factors can be found like this.

142:2x 71

210:2x 3x 5x 7

282:2x 3x 47

889:7x 127

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 7475814360/(1x84)

LCM = 7475814360/84

LCM = 88997790

Thus, we can understand that the LCM of 142,210,282,889 is 88997790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 210, 282, 889

1. What is the LCM of 142, 210, 282, 889?

Answer: LCM of 142, 210, 282, 889 is 88997790.

2. How to calculate the LCM of 142, 210, 282, 889?

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 142, 210, 282, 889.

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}.