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 918, 490, 970, 830, 138 i.e. 41647259430 smallest integer divisible by all numbers.
Least common multiple (LCM) of 918, 490, 970, 830, 138 is 41647259430.
LCM(918, 490, 970, 830, 138) = 41647259430
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 918, 490, 970, 830, 138 |
3 | 459, 245, 485, 415, 69 |
5 | 153, 245, 485, 415, 23 |
153, 49, 97, 83, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 153 x 49 x 97 x 83 x 23 = 41647259430
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 918,490,970,830,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,490,970,830,138) = 2
common factors(in case of two or more numbers have common factors) = 600
GCF(918,490,970,830,138) x common factors =2 x 600 = 1200
LCM(918,490,970,830,138) = ( 918 × 490 × 970 × 830 × 138 ) / 1200
LCM(918,490,970,830,138) = 49976711316000 / 1200
LCM(918,490,970,830,138) = 41647259430
∴ Least Common Multiple of 918,490,970,830,138 is 41647259430
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 918, 490, 970, 830, 138?
Answer: LCM of 918, 490, 970, 830, 138 is 41647259430.
2. What are the Factors of 41647259430?
Answer: Factors of 41647259430 are . There are integers that are factors of 41647259430
3. How to Find the LCM of 918, 490, 970, 830, 138 ?
Least Common Multiple of 918, 490, 970, 830, 138.
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(918, 490, 970, 830, 138) = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 17 x 23 x 83 x 97 = 41647259430.