Least Common Multiple of 77/719, 75/695, 988/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/719, 75/695, 988/550 quickly i.e. 5705700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/719, 75/695, 988/550 is 5705700.

LCM(77/719, 75/695, 988/550) = 5705700

LCM of 77/719, 75/695, 988/550

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 77/719,75/695,988/550

Given numbers are 77/719,75/695,988/550

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 77,75,988

Least Common Multiple of Numerators i.e. LCM of 77,75,988 is 5705700.

GCF of Denominators means GCF of 719,695,550 as per the given fractions.

GCF of 719,695,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,75,988

LCM of Fractions 77/719,75/695,988/550 is 5705700

Given numbers has no common factors except 1. So, there LCM is their product i.e 5705700

Least Common Multiple of 77,75,988 with GCF Formula

Least Common Multiple of 77,75,988 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 77,75,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,75,988) = 1

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

GCF(77,75,988) x common factors =1 x 1 = 1

LCM(77,75,988) = ( 77 × 75 × 988 ) / 1

LCM(77,75,988) = 5705700 / 1

LCM(77,75,988) = 5705700


Lets's calculate GCF of 719,695,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5705700/1

Therefore the LCM of Fractions 77/719,75/695,988/550 is 5705700

Greatest Common Factor of 719,695,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,695,550 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 719,695,550 . The biggest common factor number is the GCF number.
So the greatest common factor 719,695,550 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/719, 75/695, 988/550

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 77/719, 75/695, 988/550?

Answer: LCM of Numerators as per given numbers 77/719, 75/695, 988/550 is

LCM of Numerators i.e. for 77,75,988 is 5705700

GCF of denominators i.e. for 719,695,550 is 1.

Thus, LCM of Fractions is 5705700.Finally, LCM of Fractions for 77/719, 75/695, 988/550 is 5705700.