Least Common Multiple of 779/85, 1530/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 779/85, 1530/260 quickly i.e. 238374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 779/85, 1530/260 is 238374.

LCM(779/85, 1530/260) = 238374

LCM of 779/85, 1530/260

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 779/85,1530/260

Given numbers are 779/85,1530/260

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 779,1530

Least Common Multiple of Numerators i.e. LCM of 779,1530 is 1191870.

GCF of Denominators means GCF of 85,260 as per the given fractions.

GCF of 85,260 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 779,1530

LCM of Fractions 779/85,1530/260 is 238374

Given numbers has no common factors except 1. So, there LCM is their product i.e 1191870

Least Common Multiple of 779,1530 with GCF Formula

Least Common Multiple of 779,1530 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 779,1530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,1530) = 1

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

GCF(779,1530) x common factors =1 x 1 = 1

LCM(779,1530) = ( 779 × 1530 ) / 1

LCM(779,1530) = 1191870 / 1

LCM(779,1530) = 1191870


Lets's calculate GCF of 85,260

5 85, 260
17, 52

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1191870/5

Therefore the LCM of Fractions 779/85,1530/260 is 238374

Greatest Common Factor of 85,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,260 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 85,260 . The biggest common factor number is the GCF number.
So the greatest common factor 85,260 is 5.


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 779/85, 1530/260

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 779/85, 1530/260?

Answer: LCM of Numerators as per given numbers 779/85, 1530/260 is

LCM of Numerators i.e. for 779,1530 is 1191870

GCF of denominators i.e. for 85,260 is 5.

Thus, LCM of Fractions is 238374.Finally, LCM of Fractions for 779/85, 1530/260 is 238374.