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LCM of 951, 917, 490, 262

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


Find the LCM of 951, 917, 490, 262 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 951, 917, 490, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 951,917,490,262

Given numbers are 951,917,490,262

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

The LCM of 951,917,490,262 is 61044690.

Find LCM of 951,917,490,262 with Prime Factorization


2 951, 917, 490, 262
7 951, 917, 245, 131
131 951, 131, 35, 131
951, 1, 35, 1

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

2 x 7 x 131 x 951 x 1 x 35 x 1 = 61044690

Therefore, the lowest common multiple of 951,917,490,262 is 61044690.

LCM Formula to Find Lowest Common Multiple of 951,917,490,262

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.

951 x 917 x 490 x 262 = 111955961460

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.

951 : 1, 3, 317, 951

917 : 1, 7, 131, 917

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,917,490,262, is 1.

Now, the common factors can be found like this.

951:3x 317

917:7x 131

490:2x 5x 7x 7

262:2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 131 = 1834

Therefore, the value for common factors is 1834.

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 = 111955961460/(1x1834)

LCM = 111955961460/1834

LCM = 61044690

Thus, we can understand that the LCM of 951,917,490,262 is 61044690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 951, 917, 490, 262

1. What is the LCM of 951, 917, 490, 262?

Answer: LCM of 951, 917, 490, 262 is 61044690.

2. How to calculate the LCM of 951, 917, 490, 262?

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 951, 917, 490, 262.

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}.