Least Common Multiple of 374/76, 422/98, 612/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/76, 422/98, 612/235 quickly i.e. 1420452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/76, 422/98, 612/235 is 1420452.

LCM(374/76, 422/98, 612/235) = 1420452

LCM of 374/76, 422/98, 612/235

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 374/76,422/98,612/235

Given numbers are 374/76,422/98,612/235

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 374,422,612

Least Common Multiple of Numerators i.e. LCM of 374,422,612 is 1420452.

GCF of Denominators means GCF of 76,98,235 as per the given fractions.

GCF of 76,98,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,422,612

LCM of Fractions 374/76,422/98,612/235 is 1420452

2 374, 422, 612
17 187, 211, 306
11, 211, 18

∴ So the LCM of the given numbers is 2 x 17 x 11 x 211 x 18 = 1420452

Least Common Multiple of 374,422,612 with GCF Formula

Least Common Multiple of 374,422,612 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 374,422,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,422,612) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(374,422,612) x common factors =2 x 34 = 68

LCM(374,422,612) = ( 374 × 422 × 612 ) / 68

LCM(374,422,612) = 96590736 / 68

LCM(374,422,612) = 1420452


Lets's calculate GCF of 76,98,235

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1420452/1

Therefore the LCM of Fractions 374/76,422/98,612/235 is 1420452

Greatest Common Factor of 76,98,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,98,235 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 76,98,235 . The biggest common factor number is the GCF number.
So the greatest common factor 76,98,235 is 1.


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 374/76, 422/98, 612/235

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 374/76, 422/98, 612/235?

Answer: LCM of Numerators as per given numbers 374/76, 422/98, 612/235 is

LCM of Numerators i.e. for 374,422,612 is 1420452

GCF of denominators i.e. for 76,98,235 is 1.

Thus, LCM of Fractions is 1420452.Finally, LCM of Fractions for 374/76, 422/98, 612/235 is 1420452.