Least Common Multiple of 279/10, 350/81, 558/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/10, 350/81, 558/770 quickly i.e. 97650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/10, 350/81, 558/770 is 97650.

LCM(279/10, 350/81, 558/770) = 97650

LCM of 279/10, 350/81, 558/770

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 279/10,350/81,558/770

Given numbers are 279/10,350/81,558/770

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 279,350,558

Least Common Multiple of Numerators i.e. LCM of 279,350,558 is 97650.

GCF of Denominators means GCF of 10,81,770 as per the given fractions.

GCF of 10,81,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,350,558

LCM of Fractions 279/10,350/81,558/770 is 97650

2 279, 350, 558
3 279, 175, 279
3 93, 175, 93
31 31, 175, 31
1, 175, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 1 x 175 x 1 = 97650

Least Common Multiple of 279,350,558 with GCF Formula

Least Common Multiple of 279,350,558 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 279,350,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,350,558) = 1

common factors(in case of two or more numbers have common factors) = 558

GCF(279,350,558) x common factors =1 x 558 = 558

LCM(279,350,558) = ( 279 × 350 × 558 ) / 558

LCM(279,350,558) = 54488700 / 558

LCM(279,350,558) = 97650


Lets's calculate GCF of 10,81,770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97650/1

Therefore the LCM of Fractions 279/10,350/81,558/770 is 97650

Greatest Common Factor of 10,81,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,81,770 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 10,81,770 . The biggest common factor number is the GCF number.
So the greatest common factor 10,81,770 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 279/10, 350/81, 558/770

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 279/10, 350/81, 558/770?

Answer: LCM of Numerators as per given numbers 279/10, 350/81, 558/770 is

LCM of Numerators i.e. for 279,350,558 is 97650

GCF of denominators i.e. for 10,81,770 is 1.

Thus, LCM of Fractions is 97650.Finally, LCM of Fractions for 279/10, 350/81, 558/770 is 97650.