Least Common Multiple of 74/209, 61/207, 385/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/209, 61/207, 385/776 quickly i.e. 1737890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/209, 61/207, 385/776 is 1737890.

LCM(74/209, 61/207, 385/776) = 1737890

LCM of 74/209, 61/207, 385/776

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 74/209,61/207,385/776

Given numbers are 74/209,61/207,385/776

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 74,61,385

Least Common Multiple of Numerators i.e. LCM of 74,61,385 is 1737890.

GCF of Denominators means GCF of 209,207,776 as per the given fractions.

GCF of 209,207,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,61,385

LCM of Fractions 74/209,61/207,385/776 is 1737890

Given numbers has no common factors except 1. So, there LCM is their product i.e 1737890

Least Common Multiple of 74,61,385 with GCF Formula

Least Common Multiple of 74,61,385 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 74,61,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,61,385) = 1

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

GCF(74,61,385) x common factors =1 x 1 = 1

LCM(74,61,385) = ( 74 × 61 × 385 ) / 1

LCM(74,61,385) = 1737890 / 1

LCM(74,61,385) = 1737890


Lets's calculate GCF of 209,207,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1737890/1

Therefore the LCM of Fractions 74/209,61/207,385/776 is 1737890

Greatest Common Factor of 209,207,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,207,776 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 209,207,776 . The biggest common factor number is the GCF number.
So the greatest common factor 209,207,776 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 74/209, 61/207, 385/776

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 74/209, 61/207, 385/776?

Answer: LCM of Numerators as per given numbers 74/209, 61/207, 385/776 is

LCM of Numerators i.e. for 74,61,385 is 1737890

GCF of denominators i.e. for 209,207,776 is 1.

Thus, LCM of Fractions is 1737890.Finally, LCM of Fractions for 74/209, 61/207, 385/776 is 1737890.