Least Common Multiple of 1010/44, 7390/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1010/44, 7390/278 quickly i.e. 373195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1010/44, 7390/278 is 373195.

LCM(1010/44, 7390/278) = 373195

LCM of 1010/44, 7390/278

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 1010/44,7390/278

Given numbers are 1010/44,7390/278

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 1010,7390

Least Common Multiple of Numerators i.e. LCM of 1010,7390 is 746390.

GCF of Denominators means GCF of 44,278 as per the given fractions.

GCF of 44,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1010,7390

LCM of Fractions 1010/44,7390/278 is 373195

2 1010, 7390
5 505, 3695
101, 739

∴ So the LCM of the given numbers is 2 x 5 x 101 x 739 = 746390

Least Common Multiple of 1010,7390 with GCF Formula

Least Common Multiple of 1010,7390 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 1010,7390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1010,7390) = 10

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

GCF(1010,7390) x common factors =10 x 1 = 10

LCM(1010,7390) = ( 1010 × 7390 ) / 10

LCM(1010,7390) = 7463900 / 10

LCM(1010,7390) = 746390


Lets's calculate GCF of 44,278

2 44, 278
22, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746390/2

Therefore the LCM of Fractions 1010/44,7390/278 is 373195

Greatest Common Factor of 44,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,278 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 44,278 . The biggest common factor number is the GCF number.
So the greatest common factor 44,278 is 2.


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 1010/44, 7390/278

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 1010/44, 7390/278?

Answer: LCM of Numerators as per given numbers 1010/44, 7390/278 is

LCM of Numerators i.e. for 1010,7390 is 746390

GCF of denominators i.e. for 44,278 is 2.

Thus, LCM of Fractions is 373195.Finally, LCM of Fractions for 1010/44, 7390/278 is 373195.