Least Common Multiple of 777/658, 1099/1988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/658, 1099/1988 quickly i.e. 121989/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/658, 1099/1988 is 121989/14.

LCM(777/658, 1099/1988) = 121989/14

LCM of 777/658, 1099/1988

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 777/658,1099/1988

Given numbers are 777/658,1099/1988

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 777,1099

Least Common Multiple of Numerators i.e. LCM of 777,1099 is 121989.

GCF of Denominators means GCF of 658,1988 as per the given fractions.

GCF of 658,1988 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,1099

LCM of Fractions 777/658,1099/1988 is 121989/14

7 777, 1099
111, 157

∴ So the LCM of the given numbers is 7 x 111 x 157 = 121989

Least Common Multiple of 777,1099 with GCF Formula

Least Common Multiple of 777,1099 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 777,1099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,1099) = 7

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

GCF(777,1099) x common factors =7 x 1 = 7

LCM(777,1099) = ( 777 × 1099 ) / 7

LCM(777,1099) = 853923 / 7

LCM(777,1099) = 121989


Lets's calculate GCF of 658,1988

2 658, 1988
7 329, 994
47, 142

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121989/14

Therefore the LCM of Fractions 777/658,1099/1988 is 121989/14

Greatest Common Factor of 658,1988 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,1988 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 1988

List of positive integer factors of 1988 that divides 1988 without a remainder.

1,2,4,7,14,28,71,142,284,497,994,1988

Greatest Common Factor

We found the factors 658,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 658,1988 is 14.


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 777/658, 1099/1988

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 777/658, 1099/1988?

Answer: LCM of Numerators as per given numbers 777/658, 1099/1988 is

LCM of Numerators i.e. for 777,1099 is 121989

GCF of denominators i.e. for 658,1988 is 14.

Thus, LCM of Fractions is 121989/14.Finally, LCM of Fractions for 777/658, 1099/1988 is 121989/14.