Least Common Multiple of 17/77, 70/76, 400/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/77, 70/76, 400/983 quickly i.e. 47600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/77, 70/76, 400/983 is 47600.

LCM(17/77, 70/76, 400/983) = 47600

LCM of 17/77, 70/76, 400/983

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 17/77,70/76,400/983

Given numbers are 17/77,70/76,400/983

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 17,70,400

Least Common Multiple of Numerators i.e. LCM of 17,70,400 is 47600.

GCF of Denominators means GCF of 77,76,983 as per the given fractions.

GCF of 77,76,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,70,400

LCM of Fractions 17/77,70/76,400/983 is 47600

2 17, 70, 400
5 17, 35, 200
17, 7, 40

∴ So the LCM of the given numbers is 2 x 5 x 17 x 7 x 40 = 47600

Least Common Multiple of 17,70,400 with GCF Formula

Least Common Multiple of 17,70,400 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 17,70,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,70,400) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(17,70,400) x common factors =1 x 10 = 10

LCM(17,70,400) = ( 17 × 70 × 400 ) / 10

LCM(17,70,400) = 476000 / 10

LCM(17,70,400) = 47600


Lets's calculate GCF of 77,76,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47600/1

Therefore the LCM of Fractions 17/77,70/76,400/983 is 47600

Greatest Common Factor of 77,76,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,76,983 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 77,76,983 . The biggest common factor number is the GCF number.
So the greatest common factor 77,76,983 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 17/77, 70/76, 400/983

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 17/77, 70/76, 400/983?

Answer: LCM of Numerators as per given numbers 17/77, 70/76, 400/983 is

LCM of Numerators i.e. for 17,70,400 is 47600

GCF of denominators i.e. for 77,76,983 is 1.

Thus, LCM of Fractions is 47600.Finally, LCM of Fractions for 17/77, 70/76, 400/983 is 47600.