Least Common Multiple of 128/68, 977/6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/68, 977/6076 quickly i.e. 31264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/68, 977/6076 is 31264.

LCM(128/68, 977/6076) = 31264

LCM of 128/68, 977/6076

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 128/68,977/6076

Given numbers are 128/68,977/6076

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 128,977

Least Common Multiple of Numerators i.e. LCM of 128,977 is 125056.

GCF of Denominators means GCF of 68,6076 as per the given fractions.

GCF of 68,6076 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,977

LCM of Fractions 128/68,977/6076 is 31264

Given numbers has no common factors except 1. So, there LCM is their product i.e 125056

Least Common Multiple of 128,977 with GCF Formula

Least Common Multiple of 128,977 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 128,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,977) = 1

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

GCF(128,977) x common factors =1 x 1 = 1

LCM(128,977) = ( 128 × 977 ) / 1

LCM(128,977) = 125056 / 1

LCM(128,977) = 125056


Lets's calculate GCF of 68,6076

2 68, 6076
2 34, 3038
17, 1519

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125056/4

Therefore the LCM of Fractions 128/68,977/6076 is 31264

Greatest Common Factor of 68,6076 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,6076 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076

Greatest Common Factor

We found the factors 68,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 68,6076 is 4.


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 128/68, 977/6076

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 128/68, 977/6076?

Answer: LCM of Numerators as per given numbers 128/68, 977/6076 is

LCM of Numerators i.e. for 128,977 is 125056

GCF of denominators i.e. for 68,6076 is 4.

Thus, LCM of Fractions is 31264.Finally, LCM of Fractions for 128/68, 977/6076 is 31264.