Least Common Multiple of 688/310, 573/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 688/310, 573/958 quickly i.e. 197112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/310, 573/958 is 197112.

LCM(688/310, 573/958) = 197112

LCM of 688/310, 573/958

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 688/310,573/958

Given numbers are 688/310,573/958

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 688,573

Least Common Multiple of Numerators i.e. LCM of 688,573 is 394224.

GCF of Denominators means GCF of 310,958 as per the given fractions.

GCF of 310,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,573

LCM of Fractions 688/310,573/958 is 197112

Given numbers has no common factors except 1. So, there LCM is their product i.e 394224

Least Common Multiple of 688,573 with GCF Formula

Least Common Multiple of 688,573 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 688,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,573) = 1

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

GCF(688,573) x common factors =1 x 1 = 1

LCM(688,573) = ( 688 × 573 ) / 1

LCM(688,573) = 394224 / 1

LCM(688,573) = 394224


Lets's calculate GCF of 310,958

2 310, 958
155, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394224/2

Therefore the LCM of Fractions 688/310,573/958 is 197112

Greatest Common Factor of 310,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,958 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 310,958 . The biggest common factor number is the GCF number.
So the greatest common factor 310,958 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 688/310, 573/958

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 688/310, 573/958?

Answer: LCM of Numerators as per given numbers 688/310, 573/958 is

LCM of Numerators i.e. for 688,573 is 394224

GCF of denominators i.e. for 310,958 is 2.

Thus, LCM of Fractions is 197112.Finally, LCM of Fractions for 688/310, 573/958 is 197112.