Least Common Multiple of 77/88, 63/49, 75/38, 682/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/88, 63/49, 75/38, 682/55 quickly i.e. 1074150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/88, 63/49, 75/38, 682/55 is 1074150.

LCM(77/88, 63/49, 75/38, 682/55) = 1074150

LCM of 77/88, 63/49, 75/38, 682/55

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 77/88,63/49,75/38,682/55

Given numbers are 77/88,63/49,75/38,682/55

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 77,63,75,682

Least Common Multiple of Numerators i.e. LCM of 77,63,75,682 is 1074150.

GCF of Denominators means GCF of 88,49,38,55 as per the given fractions.

GCF of 88,49,38,55 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,63,75,682

LCM of Fractions 77/88,63/49,75/38,682/55 is 1074150

3 77, 63, 75, 682
7 77, 21, 25, 682
11 11, 3, 25, 682
1, 3, 25, 62

∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 3 x 25 x 62 = 1074150

Least Common Multiple of 77,63,75,682 with GCF Formula

Least Common Multiple of 77,63,75,682 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 77,63,75,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,63,75,682) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(77,63,75,682) x common factors =1 x 231 = 231

LCM(77,63,75,682) = ( 77 × 63 × 75 × 682 ) / 231

LCM(77,63,75,682) = 248128650 / 231

LCM(77,63,75,682) = 1074150


Lets's calculate GCF of 88,49,38,55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074150/1

Therefore the LCM of Fractions 77/88,63/49,75/38,682/55 is 1074150

Greatest Common Factor of 88,49,38,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,49,38,55 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 88,49,38,55 . The biggest common factor number is the GCF number.
So the greatest common factor 88,49,38,55 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 77/88, 63/49, 75/38, 682/55

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 77/88, 63/49, 75/38, 682/55?

Answer: LCM of Numerators as per given numbers 77/88, 63/49, 75/38, 682/55 is

LCM of Numerators i.e. for 77,63,75,682 is 1074150

GCF of denominators i.e. for 88,49,38,55 is 1.

Thus, LCM of Fractions is 1074150.Finally, LCM of Fractions for 77/88, 63/49, 75/38, 682/55 is 1074150.