Least Common Multiple of 945/21, 583/77, 189/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/21, 583/77, 189/364 quickly i.e. 78705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/21, 583/77, 189/364 is 78705.

LCM(945/21, 583/77, 189/364) = 78705

LCM of 945/21, 583/77, 189/364

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 945/21,583/77,189/364

Given numbers are 945/21,583/77,189/364

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 945,583,189

Least Common Multiple of Numerators i.e. LCM of 945,583,189 is 550935.

GCF of Denominators means GCF of 21,77,364 as per the given fractions.

GCF of 21,77,364 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,583,189

LCM of Fractions 945/21,583/77,189/364 is 78705

3 945, 583, 189
3 315, 583, 63
3 105, 583, 21
7 35, 583, 7
5, 583, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 5 x 583 x 1 = 550935

Least Common Multiple of 945,583,189 with GCF Formula

Least Common Multiple of 945,583,189 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 945,583,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,583,189) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(945,583,189) x common factors =1 x 189 = 189

LCM(945,583,189) = ( 945 × 583 × 189 ) / 189

LCM(945,583,189) = 104126715 / 189

LCM(945,583,189) = 550935


Lets's calculate GCF of 21,77,364

7 21, 77, 364
3, 11, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550935/7

Therefore the LCM of Fractions 945/21,583/77,189/364 is 78705

Greatest Common Factor of 21,77,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,77,364 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 21,77,364 . The biggest common factor number is the GCF number.
So the greatest common factor 21,77,364 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 945/21, 583/77, 189/364

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 945/21, 583/77, 189/364?

Answer: LCM of Numerators as per given numbers 945/21, 583/77, 189/364 is

LCM of Numerators i.e. for 945,583,189 is 550935

GCF of denominators i.e. for 21,77,364 is 7.

Thus, LCM of Fractions is 78705.Finally, LCM of Fractions for 945/21, 583/77, 189/364 is 78705.