Least Common Multiple of 736/421, 2037/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/421, 2037/840 quickly i.e. 1499232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/421, 2037/840 is 1499232.

LCM(736/421, 2037/840) = 1499232

LCM of 736/421, 2037/840

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 736/421,2037/840

Given numbers are 736/421,2037/840

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 736,2037

Least Common Multiple of Numerators i.e. LCM of 736,2037 is 1499232.

GCF of Denominators means GCF of 421,840 as per the given fractions.

GCF of 421,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,2037

LCM of Fractions 736/421,2037/840 is 1499232

Given numbers has no common factors except 1. So, there LCM is their product i.e 1499232

Least Common Multiple of 736,2037 with GCF Formula

Least Common Multiple of 736,2037 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 736,2037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,2037) = 1

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

GCF(736,2037) x common factors =1 x 1 = 1

LCM(736,2037) = ( 736 × 2037 ) / 1

LCM(736,2037) = 1499232 / 1

LCM(736,2037) = 1499232


Lets's calculate GCF of 421,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1499232/1

Therefore the LCM of Fractions 736/421,2037/840 is 1499232

Greatest Common Factor of 421,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,840 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 421,840 . The biggest common factor number is the GCF number.
So the greatest common factor 421,840 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 736/421, 2037/840

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 736/421, 2037/840?

Answer: LCM of Numerators as per given numbers 736/421, 2037/840 is

LCM of Numerators i.e. for 736,2037 is 1499232

GCF of denominators i.e. for 421,840 is 1.

Thus, LCM of Fractions is 1499232.Finally, LCM of Fractions for 736/421, 2037/840 is 1499232.