Least Common Multiple of 775/980, 868/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 775/980, 868/265 quickly i.e. 4340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/980, 868/265 is 4340.

LCM(775/980, 868/265) = 4340

LCM of 775/980, 868/265

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 775/980,868/265

Given numbers are 775/980,868/265

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 775,868

Least Common Multiple of Numerators i.e. LCM of 775,868 is 21700.

GCF of Denominators means GCF of 980,265 as per the given fractions.

GCF of 980,265 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,868

LCM of Fractions 775/980,868/265 is 4340

31 775, 868
25, 28

∴ So the LCM of the given numbers is 31 x 25 x 28 = 21700

Least Common Multiple of 775,868 with GCF Formula

Least Common Multiple of 775,868 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 775,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,868) = 31

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

GCF(775,868) x common factors =31 x 1 = 31

LCM(775,868) = ( 775 × 868 ) / 31

LCM(775,868) = 672700 / 31

LCM(775,868) = 21700


Lets's calculate GCF of 980,265

5 980, 265
196, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21700/5

Therefore the LCM of Fractions 775/980,868/265 is 4340

Greatest Common Factor of 980,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,265 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 980,265 . The biggest common factor number is the GCF number.
So the greatest common factor 980,265 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 775/980, 868/265

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 775/980, 868/265?

Answer: LCM of Numerators as per given numbers 775/980, 868/265 is

LCM of Numerators i.e. for 775,868 is 21700

GCF of denominators i.e. for 980,265 is 5.

Thus, LCM of Fractions is 4340.Finally, LCM of Fractions for 775/980, 868/265 is 4340.