Least Common Multiple of 19/35, 69/21, 51/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/35, 69/21, 51/77 quickly i.e. 22287/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/35, 69/21, 51/77 is 22287/7.

LCM(19/35, 69/21, 51/77) = 22287/7

LCM of 19/35, 69/21, 51/77

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 19/35,69/21,51/77

Given numbers are 19/35,69/21,51/77

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 19,69,51

Least Common Multiple of Numerators i.e. LCM of 19,69,51 is 22287.

GCF of Denominators means GCF of 35,21,77 as per the given fractions.

GCF of 35,21,77 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,69,51

LCM of Fractions 19/35,69/21,51/77 is 22287/7

3 19, 69, 51
19, 23, 17

∴ So the LCM of the given numbers is 3 x 19 x 23 x 17 = 22287

Least Common Multiple of 19,69,51 with GCF Formula

Least Common Multiple of 19,69,51 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 19,69,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,69,51) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,69,51) x common factors =1 x 3 = 3

LCM(19,69,51) = ( 19 × 69 × 51 ) / 3

LCM(19,69,51) = 66861 / 3

LCM(19,69,51) = 22287


Lets's calculate GCF of 35,21,77

7 35, 21, 77
5, 3, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22287/7

Therefore the LCM of Fractions 19/35,69/21,51/77 is 22287/7

Greatest Common Factor of 35,21,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,21,77 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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

Greatest Common Factor

We found the factors 35,21,77 . The biggest common factor number is the GCF number.
So the greatest common factor 35,21,77 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 19/35, 69/21, 51/77

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 19/35, 69/21, 51/77?

Answer: LCM of Numerators as per given numbers 19/35, 69/21, 51/77 is

LCM of Numerators i.e. for 19,69,51 is 22287

GCF of denominators i.e. for 35,21,77 is 7.

Thus, LCM of Fractions is 22287/7.Finally, LCM of Fractions for 19/35, 69/21, 51/77 is 22287/7.