Least Common Multiple of 56/32, 33/42, 63/14, 77/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/32, 33/42, 63/14, 77/699 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/32, 33/42, 63/14, 77/699 is 5544.

LCM(56/32, 33/42, 63/14, 77/699) = 5544

LCM of 56/32, 33/42, 63/14, 77/699

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 56/32,33/42,63/14,77/699

Given numbers are 56/32,33/42,63/14,77/699

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 56,33,63,77

Least Common Multiple of Numerators i.e. LCM of 56,33,63,77 is 5544.

GCF of Denominators means GCF of 32,42,14,699 as per the given fractions.

GCF of 32,42,14,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,33,63,77

LCM of Fractions 56/32,33/42,63/14,77/699 is 5544

3 56, 33, 63, 77
7 56, 11, 21, 77
11 8, 11, 3, 11
8, 1, 3, 1

∴ So the LCM of the given numbers is 3 x 7 x 11 x 8 x 1 x 3 x 1 = 5544

Least Common Multiple of 56,33,63,77 with GCF Formula

Least Common Multiple of 56,33,63,77 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 56,33,63,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,33,63,77) = 1

common factors(in case of two or more numbers have common factors) = 1617

GCF(56,33,63,77) x common factors =1 x 1617 = 1617

LCM(56,33,63,77) = ( 56 × 33 × 63 × 77 ) / 1617

LCM(56,33,63,77) = 8964648 / 1617

LCM(56,33,63,77) = 5544


Lets's calculate GCF of 32,42,14,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 56/32,33/42,63/14,77/699 is 5544

Greatest Common Factor of 32,42,14,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,42,14,699 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 32,42,14,699 . The biggest common factor number is the GCF number.
So the greatest common factor 32,42,14,699 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 56/32, 33/42, 63/14, 77/699

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 56/32, 33/42, 63/14, 77/699?

Answer: LCM of Numerators as per given numbers 56/32, 33/42, 63/14, 77/699 is

LCM of Numerators i.e. for 56,33,63,77 is 5544

GCF of denominators i.e. for 32,42,14,699 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 56/32, 33/42, 63/14, 77/699 is 5544.