Least Common Multiple of 9340/420, 5985/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9340/420, 5985/740 quickly i.e. 558999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9340/420, 5985/740 is 558999.

LCM(9340/420, 5985/740) = 558999

LCM of 9340/420, 5985/740

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 9340/420,5985/740

Given numbers are 9340/420,5985/740

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 9340,5985

Least Common Multiple of Numerators i.e. LCM of 9340,5985 is 11179980.

GCF of Denominators means GCF of 420,740 as per the given fractions.

GCF of 420,740 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9340,5985

LCM of Fractions 9340/420,5985/740 is 558999

5 9340, 5985
1868, 1197

∴ So the LCM of the given numbers is 5 x 1868 x 1197 = 11179980

Least Common Multiple of 9340,5985 with GCF Formula

Least Common Multiple of 9340,5985 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 9340,5985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9340,5985) = 5

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

GCF(9340,5985) x common factors =5 x 1 = 5

LCM(9340,5985) = ( 9340 × 5985 ) / 5

LCM(9340,5985) = 55899900 / 5

LCM(9340,5985) = 11179980


Lets's calculate GCF of 420,740

2 420, 740
2 210, 370
5 105, 185
21, 37

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11179980/20

Therefore the LCM of Fractions 9340/420,5985/740 is 558999

Greatest Common Factor of 420,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,740 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 420,740 . The biggest common factor number is the GCF number.
So the greatest common factor 420,740 is 20.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9340/420, 5985/740

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 9340/420, 5985/740?

Answer: LCM of Numerators as per given numbers 9340/420, 5985/740 is

LCM of Numerators i.e. for 9340,5985 is 11179980

GCF of denominators i.e. for 420,740 is 20.

Thus, LCM of Fractions is 558999.Finally, LCM of Fractions for 9340/420, 5985/740 is 558999.