Least Common Multiple of 41/630, 8078/7400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/630, 8078/7400 quickly i.e. 331198/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/630, 8078/7400 is 331198/10.

LCM(41/630, 8078/7400) = 331198/10

LCM of 41/630, 8078/7400

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 41/630,8078/7400

Given numbers are 41/630,8078/7400

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 41,8078

Least Common Multiple of Numerators i.e. LCM of 41,8078 is 331198.

GCF of Denominators means GCF of 630,7400 as per the given fractions.

GCF of 630,7400 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,8078

LCM of Fractions 41/630,8078/7400 is 331198/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 331198

Least Common Multiple of 41,8078 with GCF Formula

Least Common Multiple of 41,8078 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 41,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,8078) = 1

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

GCF(41,8078) x common factors =1 x 1 = 1

LCM(41,8078) = ( 41 × 8078 ) / 1

LCM(41,8078) = 331198 / 1

LCM(41,8078) = 331198


Lets's calculate GCF of 630,7400

2 630, 7400
5 315, 3700
63, 740

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331198/10

Therefore the LCM of Fractions 41/630,8078/7400 is 331198/10

Greatest Common Factor of 630,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,7400 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 630,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 630,7400 is 10.


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 41/630, 8078/7400

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 41/630, 8078/7400?

Answer: LCM of Numerators as per given numbers 41/630, 8078/7400 is

LCM of Numerators i.e. for 41,8078 is 331198

GCF of denominators i.e. for 630,7400 is 10.

Thus, LCM of Fractions is 331198/10.Finally, LCM of Fractions for 41/630, 8078/7400 is 331198/10.