Least Common Multiple of 75/197, 77/767, 984/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/197, 77/767, 984/814 quickly i.e. 1894200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/197, 77/767, 984/814 is 1894200.

LCM(75/197, 77/767, 984/814) = 1894200

LCM of 75/197, 77/767, 984/814

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 75/197,77/767,984/814

Given numbers are 75/197,77/767,984/814

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 75,77,984

Least Common Multiple of Numerators i.e. LCM of 75,77,984 is 1894200.

GCF of Denominators means GCF of 197,767,814 as per the given fractions.

GCF of 197,767,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,77,984

LCM of Fractions 75/197,77/767,984/814 is 1894200

3 75, 77, 984
25, 77, 328

∴ So the LCM of the given numbers is 3 x 25 x 77 x 328 = 1894200

Least Common Multiple of 75,77,984 with GCF Formula

Least Common Multiple of 75,77,984 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 75,77,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,77,984) = 1

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

GCF(75,77,984) x common factors =1 x 3 = 3

LCM(75,77,984) = ( 75 × 77 × 984 ) / 3

LCM(75,77,984) = 5682600 / 3

LCM(75,77,984) = 1894200


Lets's calculate GCF of 197,767,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1894200/1

Therefore the LCM of Fractions 75/197,77/767,984/814 is 1894200

Greatest Common Factor of 197,767,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,767,814 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 197,767,814 . The biggest common factor number is the GCF number.
So the greatest common factor 197,767,814 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 75/197, 77/767, 984/814

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 75/197, 77/767, 984/814?

Answer: LCM of Numerators as per given numbers 75/197, 77/767, 984/814 is

LCM of Numerators i.e. for 75,77,984 is 1894200

GCF of denominators i.e. for 197,767,814 is 1.

Thus, LCM of Fractions is 1894200.Finally, LCM of Fractions for 75/197, 77/767, 984/814 is 1894200.