Least Common Multiple of 35/122, 79/245, 579/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/122, 79/245, 579/980 quickly i.e. 1600935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/122, 79/245, 579/980 is 1600935.

LCM(35/122, 79/245, 579/980) = 1600935

LCM of 35/122, 79/245, 579/980

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 35/122,79/245,579/980

Given numbers are 35/122,79/245,579/980

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 35,79,579

Least Common Multiple of Numerators i.e. LCM of 35,79,579 is 1600935.

GCF of Denominators means GCF of 122,245,980 as per the given fractions.

GCF of 122,245,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,79,579

LCM of Fractions 35/122,79/245,579/980 is 1600935

Given numbers has no common factors except 1. So, there LCM is their product i.e 1600935

Least Common Multiple of 35,79,579 with GCF Formula

Least Common Multiple of 35,79,579 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 35,79,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,79,579) = 1

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

GCF(35,79,579) x common factors =1 x 1 = 1

LCM(35,79,579) = ( 35 × 79 × 579 ) / 1

LCM(35,79,579) = 1600935 / 1

LCM(35,79,579) = 1600935


Lets's calculate GCF of 122,245,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1600935/1

Therefore the LCM of Fractions 35/122,79/245,579/980 is 1600935

Greatest Common Factor of 122,245,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,245,980 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 245

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

1,5,7,35,49,245

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

Greatest Common Factor

We found the factors 122,245,980 . The biggest common factor number is the GCF number.
So the greatest common factor 122,245,980 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 35/122, 79/245, 579/980

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 35/122, 79/245, 579/980?

Answer: LCM of Numerators as per given numbers 35/122, 79/245, 579/980 is

LCM of Numerators i.e. for 35,79,579 is 1600935

GCF of denominators i.e. for 122,245,980 is 1.

Thus, LCM of Fractions is 1600935.Finally, LCM of Fractions for 35/122, 79/245, 579/980 is 1600935.