Least Common Multiple of 169/790, 5970/1154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 169/790, 5970/1154 quickly i.e. 504465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/790, 5970/1154 is 504465.

LCM(169/790, 5970/1154) = 504465

LCM of 169/790, 5970/1154

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 169/790,5970/1154

Given numbers are 169/790,5970/1154

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 169,5970

Least Common Multiple of Numerators i.e. LCM of 169,5970 is 1008930.

GCF of Denominators means GCF of 790,1154 as per the given fractions.

GCF of 790,1154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,5970

LCM of Fractions 169/790,5970/1154 is 504465

Given numbers has no common factors except 1. So, there LCM is their product i.e 1008930

Least Common Multiple of 169,5970 with GCF Formula

Least Common Multiple of 169,5970 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 169,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,5970) = 1

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

GCF(169,5970) x common factors =1 x 1 = 1

LCM(169,5970) = ( 169 × 5970 ) / 1

LCM(169,5970) = 1008930 / 1

LCM(169,5970) = 1008930


Lets's calculate GCF of 790,1154

2 790, 1154
395, 577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008930/2

Therefore the LCM of Fractions 169/790,5970/1154 is 504465

Greatest Common Factor of 790,1154 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,1154 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1,2,577,1154

Greatest Common Factor

We found the factors 790,1154 . The biggest common factor number is the GCF number.
So the greatest common factor 790,1154 is 2.


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Frequently Asked Questions on Fractional LCM of 169/790, 5970/1154

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 169/790, 5970/1154?

Answer: LCM of Numerators as per given numbers 169/790, 5970/1154 is

LCM of Numerators i.e. for 169,5970 is 1008930

GCF of denominators i.e. for 790,1154 is 2.

Thus, LCM of Fractions is 504465.Finally, LCM of Fractions for 169/790, 5970/1154 is 504465.