Least Common Multiple of 921/84, 3209/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/84, 3209/245 quickly i.e. 2955489/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/84, 3209/245 is 2955489/7.

LCM(921/84, 3209/245) = 2955489/7

LCM of 921/84, 3209/245

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 921/84,3209/245

Given numbers are 921/84,3209/245

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 921,3209

Least Common Multiple of Numerators i.e. LCM of 921,3209 is 2955489.

GCF of Denominators means GCF of 84,245 as per the given fractions.

GCF of 84,245 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,3209

LCM of Fractions 921/84,3209/245 is 2955489/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 2955489

Least Common Multiple of 921,3209 with GCF Formula

Least Common Multiple of 921,3209 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 921,3209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,3209) = 1

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

GCF(921,3209) x common factors =1 x 1 = 1

LCM(921,3209) = ( 921 × 3209 ) / 1

LCM(921,3209) = 2955489 / 1

LCM(921,3209) = 2955489


Lets's calculate GCF of 84,245

7 84, 245
12, 35

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2955489/7

Therefore the LCM of Fractions 921/84,3209/245 is 2955489/7

Greatest Common Factor of 84,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,245 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 84,245 . The biggest common factor number is the GCF number.
So the greatest common factor 84,245 is 7.


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 921/84, 3209/245

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 921/84, 3209/245?

Answer: LCM of Numerators as per given numbers 921/84, 3209/245 is

LCM of Numerators i.e. for 921,3209 is 2955489

GCF of denominators i.e. for 84,245 is 7.

Thus, LCM of Fractions is 2955489/7.Finally, LCM of Fractions for 921/84, 3209/245 is 2955489/7.