Least Common Multiple of 82/78, 82/61, 70/50, 35/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/78, 82/61, 70/50, 35/245 quickly i.e. 2870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/78, 82/61, 70/50, 35/245 is 2870.

LCM(82/78, 82/61, 70/50, 35/245) = 2870

LCM of 82/78, 82/61, 70/50, 35/245

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 82/78,82/61,70/50,35/245

Given numbers are 82/78,82/61,70/50,35/245

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 82,82,70,35

Least Common Multiple of Numerators i.e. LCM of 82,82,70,35 is 2870.

GCF of Denominators means GCF of 78,61,50,245 as per the given fractions.

GCF of 78,61,50,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,82,70,35

LCM of Fractions 82/78,82/61,70/50,35/245 is 2870

2 82, 82, 70, 35
5 41, 41, 35, 35
7 41, 41, 7, 7
41 41, 41, 1, 1
1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 41 x 1 x 1 x 1 x 1 = 2870

Least Common Multiple of 82,82,70,35 with GCF Formula

Least Common Multiple of 82,82,70,35 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 82,82,70,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,82,70,35) = 1

common factors(in case of two or more numbers have common factors) = 5740

GCF(82,82,70,35) x common factors =1 x 5740 = 5740

LCM(82,82,70,35) = ( 82 × 82 × 70 × 35 ) / 5740

LCM(82,82,70,35) = 16473800 / 5740

LCM(82,82,70,35) = 2870


Lets's calculate GCF of 78,61,50,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2870/1

Therefore the LCM of Fractions 82/78,82/61,70/50,35/245 is 2870

Greatest Common Factor of 78,61,50,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,61,50,245 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 78,61,50,245 . The biggest common factor number is the GCF number.
So the greatest common factor 78,61,50,245 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 82/78, 82/61, 70/50, 35/245

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 82/78, 82/61, 70/50, 35/245?

Answer: LCM of Numerators as per given numbers 82/78, 82/61, 70/50, 35/245 is

LCM of Numerators i.e. for 82,82,70,35 is 2870

GCF of denominators i.e. for 78,61,50,245 is 1.

Thus, LCM of Fractions is 2870.Finally, LCM of Fractions for 82/78, 82/61, 70/50, 35/245 is 2870.