Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 49, 76, 68, 102 i.e. 189924 smallest integer divisible by all numbers.
Least common multiple (LCM) of 49, 76, 68, 102 is 189924.
LCM(49, 76, 68, 102) = 189924
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 49, 76, 68, 102 |
2 | 49, 38, 34, 51 |
17 | 49, 19, 17, 51 |
49, 19, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 49 x 19 x 1 x 3 = 189924
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 49,76,68,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,76,68,102) = 1
common factors(in case of two or more numbers have common factors) = 136
GCF(49,76,68,102) x common factors =1 x 136 = 136
LCM(49,76,68,102) = ( 49 × 76 × 68 × 102 ) / 136
LCM(49,76,68,102) = 25829664 / 136
LCM(49,76,68,102) = 189924
∴ Least Common Multiple of 49,76,68,102 is 189924
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 49, 76, 68, 102?
Answer: LCM of 49, 76, 68, 102 is 189924.
2. What are the Factors of 189924?
Answer: Factors of 189924 are . There are integers that are factors of 189924
3. How to Find the LCM of 49, 76, 68, 102 ?
Least Common Multiple of 49, 76, 68, 102.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(49, 76, 68, 102) = 2 x 2 x 3 x 7 x 7 x 17 x 19 = 189924.