Least Common Multiple of 4900 and 4905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4900 and 4905 the smallest integer that is 4806900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4900 and 4905 is 4806900.

LCM(4900,4905) = 4806900

LCM of 4900 and 4905

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4900 and 4905

LCM of 4900 and 4905 is 4806900

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4905. First we will calculate the prime factors of 4900 and 4905.

Prime Factorization of 4900


2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 4900 are 2, 5,7. Prime factorization of 4900 in exponential form is:

4900 = 22×52×72

Prime Factorization of 4905


3 4905
3 1635
5 545
109 109
1

Prime factors of 4905 are 3, 5,109. Prime factorization of 4905 in exponential form is:

4905 = 32×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4905.

LCM(4900,4905) = 22×32×52×72×1091
LCM(4900,4905) = 4806900

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905

Least Common Multiple of 4900 and 4905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4900 and 4905, than apply into the LCM equation.

GCF(4900,4905) = 5
LCM(4900,4905) = ( 4900 × 4905) / 5
LCM(4900,4905) = 24034500 / 5
LCM(4900,4905) = 4806900

Properties of LCM 4900 and 4905

(i) The LCM of 4905 and 4900 is associative

LCM of 4900 and 4905 = LCM of 4905 and 4900

Related Least Common Multiples of 4900

Related Least Common Multiples of 4905

Frequently Asked Questions on LCM of 4900 and 4905

1. What is the LCM of 4900 and 4905?

Answer: LCM of 4900 and 4905 is 4806900.

2. What are the Factors of 4900?

Answer: Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. There are 27 integers that are factors of 4900. The greatest factor of 4900 is 4900.

3. What are the Factors of 4905?

Answer: Factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905. There are 12 integers that are factors of 4905. The greatest factor of 4905 is 4905.

4. How to Find the LCM of 4900 and 4905?

Answer:

Least Common Multiple of 4900 and 4905 = 4806900

Step 1: Find the prime factorization of 4900

4900 = 2 x 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4806900 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 109

Step 4: Therefore, the least common multiple of 4900 and 4905 is 4806900.