Least Common Multiple of 5874/362, 1913/6950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5874/362, 1913/6950 quickly i.e. 5618481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5874/362, 1913/6950 is 5618481.

LCM(5874/362, 1913/6950) = 5618481

LCM of 5874/362, 1913/6950

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 5874/362,1913/6950

Given numbers are 5874/362,1913/6950

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 5874,1913

Least Common Multiple of Numerators i.e. LCM of 5874,1913 is 11236962.

GCF of Denominators means GCF of 362,6950 as per the given fractions.

GCF of 362,6950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5874,1913

LCM of Fractions 5874/362,1913/6950 is 5618481

Given numbers has no common factors except 1. So, there LCM is their product i.e 11236962

Least Common Multiple of 5874,1913 with GCF Formula

Least Common Multiple of 5874,1913 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 5874,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5874,1913) = 1

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

GCF(5874,1913) x common factors =1 x 1 = 1

LCM(5874,1913) = ( 5874 × 1913 ) / 1

LCM(5874,1913) = 11236962 / 1

LCM(5874,1913) = 11236962


Lets's calculate GCF of 362,6950

2 362, 6950
181, 3475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11236962/2

Therefore the LCM of Fractions 5874/362,1913/6950 is 5618481

Greatest Common Factor of 362,6950 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,6950 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 6950

List of positive integer factors of 6950 that divides 6950 without a remainder.

1,2,5,10,25,50,139,278,695,1390,3475,6950

Greatest Common Factor

We found the factors 362,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 362,6950 is 2.


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 5874/362, 1913/6950

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 5874/362, 1913/6950?

Answer: LCM of Numerators as per given numbers 5874/362, 1913/6950 is

LCM of Numerators i.e. for 5874,1913 is 11236962

GCF of denominators i.e. for 362,6950 is 2.

Thus, LCM of Fractions is 5618481.Finally, LCM of Fractions for 5874/362, 1913/6950 is 5618481.