Least Common Multiple of 3437/631, 5740/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3437/631, 5740/112 quickly i.e. 2818340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3437/631, 5740/112 is 2818340.

LCM(3437/631, 5740/112) = 2818340

LCM of 3437/631, 5740/112

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 3437/631,5740/112

Given numbers are 3437/631,5740/112

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 3437,5740

Least Common Multiple of Numerators i.e. LCM of 3437,5740 is 2818340.

GCF of Denominators means GCF of 631,112 as per the given fractions.

GCF of 631,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3437,5740

LCM of Fractions 3437/631,5740/112 is 2818340

7 3437, 5740
491, 820

∴ So the LCM of the given numbers is 7 x 491 x 820 = 2818340

Least Common Multiple of 3437,5740 with GCF Formula

Least Common Multiple of 3437,5740 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 3437,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3437,5740) = 7

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

GCF(3437,5740) x common factors =7 x 1 = 7

LCM(3437,5740) = ( 3437 × 5740 ) / 7

LCM(3437,5740) = 19728380 / 7

LCM(3437,5740) = 2818340


Lets's calculate GCF of 631,112

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2818340/1

Therefore the LCM of Fractions 3437/631,5740/112 is 2818340

Greatest Common Factor of 631,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,112 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 631,112 . The biggest common factor number is the GCF number.
So the greatest common factor 631,112 is 1.


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 3437/631, 5740/112

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 3437/631, 5740/112?

Answer: LCM of Numerators as per given numbers 3437/631, 5740/112 is

LCM of Numerators i.e. for 3437,5740 is 2818340

GCF of denominators i.e. for 631,112 is 1.

Thus, LCM of Fractions is 2818340.Finally, LCM of Fractions for 3437/631, 5740/112 is 2818340.