Least Common Multiple of 97/764, 75/574, 778/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/764, 75/574, 778/197 quickly i.e. 5659950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/764, 75/574, 778/197 is 5659950.

LCM(97/764, 75/574, 778/197) = 5659950

LCM of 97/764, 75/574, 778/197

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 97/764,75/574,778/197

Given numbers are 97/764,75/574,778/197

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 97,75,778

Least Common Multiple of Numerators i.e. LCM of 97,75,778 is 5659950.

GCF of Denominators means GCF of 764,574,197 as per the given fractions.

GCF of 764,574,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,75,778

LCM of Fractions 97/764,75/574,778/197 is 5659950

Given numbers has no common factors except 1. So, there LCM is their product i.e 5659950

Least Common Multiple of 97,75,778 with GCF Formula

Least Common Multiple of 97,75,778 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 97,75,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,75,778) = 1

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

GCF(97,75,778) x common factors =1 x 1 = 1

LCM(97,75,778) = ( 97 × 75 × 778 ) / 1

LCM(97,75,778) = 5659950 / 1

LCM(97,75,778) = 5659950


Lets's calculate GCF of 764,574,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5659950/1

Therefore the LCM of Fractions 97/764,75/574,778/197 is 5659950

Greatest Common Factor of 764,574,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,574,197 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 197

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

1,197

Greatest Common Factor

We found the factors 764,574,197 . The biggest common factor number is the GCF number.
So the greatest common factor 764,574,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/764, 75/574, 778/197

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 97/764, 75/574, 778/197?

Answer: LCM of Numerators as per given numbers 97/764, 75/574, 778/197 is

LCM of Numerators i.e. for 97,75,778 is 5659950

GCF of denominators i.e. for 764,574,197 is 1.

Thus, LCM of Fractions is 5659950.Finally, LCM of Fractions for 97/764, 75/574, 778/197 is 5659950.