Least Common Multiple of 956/838, 620/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 956/838, 620/286 quickly i.e. 74090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 956/838, 620/286 is 74090.

LCM(956/838, 620/286) = 74090

LCM of 956/838, 620/286

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 956/838,620/286

Given numbers are 956/838,620/286

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 956,620

Least Common Multiple of Numerators i.e. LCM of 956,620 is 148180.

GCF of Denominators means GCF of 838,286 as per the given fractions.

GCF of 838,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 956,620

LCM of Fractions 956/838,620/286 is 74090

2 956, 620
2 478, 310
239, 155

∴ So the LCM of the given numbers is 2 x 2 x 239 x 155 = 148180

Least Common Multiple of 956,620 with GCF Formula

Least Common Multiple of 956,620 with GCF Formula

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 956,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,620) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(956,620) x common factors =4 x 1 = 4

LCM(956,620) = ( 956 × 620 ) / 4

LCM(956,620) = 592720 / 4

LCM(956,620) = 148180


Lets's calculate GCF of 838,286

2 838, 286
419, 143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148180/2

Therefore the LCM of Fractions 956/838,620/286 is 74090

Greatest Common Factor of 838,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,286 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 838,286 . The biggest common factor number is the GCF number.
So the greatest common factor 838,286 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 956/838, 620/286

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 956/838, 620/286?

Answer: LCM of Numerators as per given numbers 956/838, 620/286 is

LCM of Numerators i.e. for 956,620 is 148180

GCF of denominators i.e. for 838,286 is 2.

Thus, LCM of Fractions is 74090.Finally, LCM of Fractions for 956/838, 620/286 is 74090.