Least Common Multiple of 940/298, 114/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 940/298, 114/674 quickly i.e. 26790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/298, 114/674 is 26790.

LCM(940/298, 114/674) = 26790

LCM of 940/298, 114/674

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 940/298,114/674

Given numbers are 940/298,114/674

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 940,114

Least Common Multiple of Numerators i.e. LCM of 940,114 is 53580.

GCF of Denominators means GCF of 298,674 as per the given fractions.

GCF of 298,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,114

LCM of Fractions 940/298,114/674 is 26790

2 940, 114
470, 57

∴ So the LCM of the given numbers is 2 x 470 x 57 = 53580

Least Common Multiple of 940,114 with GCF Formula

Least Common Multiple of 940,114 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 940,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,114) = 2

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

GCF(940,114) x common factors =2 x 1 = 2

LCM(940,114) = ( 940 × 114 ) / 2

LCM(940,114) = 107160 / 2

LCM(940,114) = 53580


Lets's calculate GCF of 298,674

2 298, 674
149, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53580/2

Therefore the LCM of Fractions 940/298,114/674 is 26790

Greatest Common Factor of 298,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,674 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 298,674 . The biggest common factor number is the GCF number.
So the greatest common factor 298,674 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 940/298, 114/674

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 940/298, 114/674?

Answer: LCM of Numerators as per given numbers 940/298, 114/674 is

LCM of Numerators i.e. for 940,114 is 53580

GCF of denominators i.e. for 298,674 is 2.

Thus, LCM of Fractions is 26790.Finally, LCM of Fractions for 940/298, 114/674 is 26790.