Least Common Multiple of 53/980, 13/696, 122/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/980, 13/696, 122/436 quickly i.e. 84058/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/980, 13/696, 122/436 is 84058/4.

LCM(53/980, 13/696, 122/436) = 84058/4

LCM of 53/980, 13/696, 122/436

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 53/980,13/696,122/436

Given numbers are 53/980,13/696,122/436

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 53,13,122

Least Common Multiple of Numerators i.e. LCM of 53,13,122 is 84058.

GCF of Denominators means GCF of 980,696,436 as per the given fractions.

GCF of 980,696,436 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,13,122

LCM of Fractions 53/980,13/696,122/436 is 84058/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 84058

Least Common Multiple of 53,13,122 with GCF Formula

Least Common Multiple of 53,13,122 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 53,13,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,13,122) = 1

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

GCF(53,13,122) x common factors =1 x 1 = 1

LCM(53,13,122) = ( 53 × 13 × 122 ) / 1

LCM(53,13,122) = 84058 / 1

LCM(53,13,122) = 84058


Lets's calculate GCF of 980,696,436

2 980, 696, 436
2 490, 348, 218
245, 174, 109

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84058/4

Therefore the LCM of Fractions 53/980,13/696,122/436 is 84058/4

Greatest Common Factor of 980,696,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,696,436 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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 980,696,436 . The biggest common factor number is the GCF number.
So the greatest common factor 980,696,436 is 4.


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 53/980, 13/696, 122/436

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 53/980, 13/696, 122/436?

Answer: LCM of Numerators as per given numbers 53/980, 13/696, 122/436 is

LCM of Numerators i.e. for 53,13,122 is 84058

GCF of denominators i.e. for 980,696,436 is 4.

Thus, LCM of Fractions is 84058/4.Finally, LCM of Fractions for 53/980, 13/696, 122/436 is 84058/4.