Least Common Multiple of 921/93, 949/6930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/93, 949/6930 quickly i.e. 291343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/93, 949/6930 is 291343.

LCM(921/93, 949/6930) = 291343

LCM of 921/93, 949/6930

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 921/93,949/6930

Given numbers are 921/93,949/6930

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 921,949

Least Common Multiple of Numerators i.e. LCM of 921,949 is 874029.

GCF of Denominators means GCF of 93,6930 as per the given fractions.

GCF of 93,6930 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,949

LCM of Fractions 921/93,949/6930 is 291343

Given numbers has no common factors except 1. So, there LCM is their product i.e 874029

Least Common Multiple of 921,949 with GCF Formula

Least Common Multiple of 921,949 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 921,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,949) = 1

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

GCF(921,949) x common factors =1 x 1 = 1

LCM(921,949) = ( 921 × 949 ) / 1

LCM(921,949) = 874029 / 1

LCM(921,949) = 874029


Lets's calculate GCF of 93,6930

3 93, 6930
31, 2310

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874029/3

Therefore the LCM of Fractions 921/93,949/6930 is 291343

Greatest Common Factor of 93,6930 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,6930 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Greatest Common Factor

We found the factors 93,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 93,6930 is 3.


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 921/93, 949/6930

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 921/93, 949/6930?

Answer: LCM of Numerators as per given numbers 921/93, 949/6930 is

LCM of Numerators i.e. for 921,949 is 874029

GCF of denominators i.e. for 93,6930 is 3.

Thus, LCM of Fractions is 291343.Finally, LCM of Fractions for 921/93, 949/6930 is 291343.