Least Common Multiple of 74/745, 73/305, 312/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/745, 73/305, 312/685 quickly i.e. 842712/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/745, 73/305, 312/685 is 842712/5.

LCM(74/745, 73/305, 312/685) = 842712/5

LCM of 74/745, 73/305, 312/685

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 74/745,73/305,312/685

Given numbers are 74/745,73/305,312/685

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 74,73,312

Least Common Multiple of Numerators i.e. LCM of 74,73,312 is 842712.

GCF of Denominators means GCF of 745,305,685 as per the given fractions.

GCF of 745,305,685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,73,312

LCM of Fractions 74/745,73/305,312/685 is 842712/5

2 74, 73, 312
37, 73, 156

∴ So the LCM of the given numbers is 2 x 37 x 73 x 156 = 842712

Least Common Multiple of 74,73,312 with GCF Formula

Least Common Multiple of 74,73,312 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 74,73,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,73,312) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,73,312) x common factors =1 x 2 = 2

LCM(74,73,312) = ( 74 × 73 × 312 ) / 2

LCM(74,73,312) = 1685424 / 2

LCM(74,73,312) = 842712


Lets's calculate GCF of 745,305,685

5 745, 305, 685
149, 61, 137

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 842712/5

Therefore the LCM of Fractions 74/745,73/305,312/685 is 842712/5

Greatest Common Factor of 745,305,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,305,685 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 745,305,685 . The biggest common factor number is the GCF number.
So the greatest common factor 745,305,685 is 5.


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 74/745, 73/305, 312/685

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 74/745, 73/305, 312/685?

Answer: LCM of Numerators as per given numbers 74/745, 73/305, 312/685 is

LCM of Numerators i.e. for 74,73,312 is 842712

GCF of denominators i.e. for 745,305,685 is 5.

Thus, LCM of Fractions is 842712/5.Finally, LCM of Fractions for 74/745, 73/305, 312/685 is 842712/5.