Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 429/152, 312/988 quickly i.e. 3432/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 429/152, 312/988 is 3432/76.
LCM(429/152, 312/988) = 3432/76
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 429/152,312/988
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 429,312
Least Common Multiple of Numerators i.e. LCM of 429,312 is 3432.
GCF of Denominators means GCF of 152,988 as per the given fractions.
GCF of 152,988 is 76 as it is the largest common factor for these numbers.
Lets's calculate LCM of 429,312
3 | 429, 312 |
13 | 143, 104 |
11, 8 |
∴ So the LCM of the given numbers is 3 x 13 x 11 x 8 = 3432
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 429,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,312) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(429,312) x common factors =39 x 1 = 39
LCM(429,312) = ( 429 × 312 ) / 39
LCM(429,312) = 133848 / 39
LCM(429,312) = 3432
Lets's calculate GCF of 152,988
2 | 152, 988 |
2 | 76, 494 |
19 | 38, 247 |
2, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432/76
Therefore the LCM of Fractions 429/152,312/988 is 3432/76
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 152,988 . The biggest common factor number is the GCF number.
So the greatest common factor 152,988 is 76.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 429/152, 312/988?
Answer: LCM of Numerators as per given numbers 429/152, 312/988 is
LCM of Numerators i.e. for 429,312 is 3432
GCF of denominators i.e. for 152,988 is 76.
Thus, LCM of Fractions is 3432/76.Finally, LCM of Fractions for 429/152, 312/988 is 3432/76.