Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 423/670, 254/526, 429/934 quickly i.e. 7682103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 423/670, 254/526, 429/934 is 7682103.
LCM(423/670, 254/526, 429/934) = 7682103
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 423/670,254/526,429/934
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 423,254,429
Least Common Multiple of Numerators i.e. LCM of 423,254,429 is 15364206.
GCF of Denominators means GCF of 670,526,934 as per the given fractions.
GCF of 670,526,934 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 423,254,429
3 | 423, 254, 429 |
141, 254, 143 |
∴ So the LCM of the given numbers is 3 x 141 x 254 x 143 = 15364206
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 423,254,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,254,429) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(423,254,429) x common factors =1 x 3 = 3
LCM(423,254,429) = ( 423 × 254 × 429 ) / 3
LCM(423,254,429) = 46092618 / 3
LCM(423,254,429) = 15364206
Lets's calculate GCF of 670,526,934
2 | 670, 526, 934 |
335, 263, 467 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15364206/2
Therefore the LCM of Fractions 423/670,254/526,429/934 is 7682103
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 670,526,934 . The biggest common factor number is the GCF number.
So the greatest common factor 670,526,934 is 2.
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 423/670, 254/526, 429/934?
Answer: LCM of Numerators as per given numbers 423/670, 254/526, 429/934 is
LCM of Numerators i.e. for 423,254,429 is 15364206
GCF of denominators i.e. for 670,526,934 is 2.
Thus, LCM of Fractions is 7682103.Finally, LCM of Fractions for 423/670, 254/526, 429/934 is 7682103.