Given numbers are 490,929,886,980,140

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

The LCM of 490,929,886,980,140 is 403316060.

Find LCM of 490,929,886,980,140 with Prime Factorization

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

2 x 2 x 5 x 7 x 7 x 1 x 929 x 443 x 1 x 1 = 403316060

Therefore, the lowest common multiple of 490,929,886,980,140 is 403316060.

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.

490 x 929 x 886 x 980 x 140 = 55334963432000

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.

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

929 : 1, 929

886 : 1, 2, 443, 886

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,929,886,980,140, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

929:929

886:2x 443

980:2x 2x 5x 7x 7

140:2x 2x 5x 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 2x 5x 5x 7x 7x 7 = 137200

Therefore, the value for common factors is 137200.

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 = 55334963432000/(1x137200)

LCM = 55334963432000/137200

LCM = 403316060

Thus, we can understand that the LCM of 490,929,886,980,140 is 403316060.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 184, 194, 840, 461, 801
• LCM of 207, 734, 962, 196, 887
• LCM of 993, 890, 300, 121, 358
• LCM of 102, 113, 972, 442, 990
• LCM of 730, 152, 103, 209, 920

1. What is the LCM of 490, 929, 886, 980, 140?

Answer: LCM of 490, 929, 886, 980, 140 is 403316060.

2. How to calculate the LCM of 490, 929, 886, 980, 140?

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 490, 929, 886, 980, 140.

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}.