Least Common Multiple of 7204/858, 7385/3950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7204/858, 7385/3950 quickly i.e. 26600770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7204/858, 7385/3950 is 26600770.

LCM(7204/858, 7385/3950) = 26600770

LCM of 7204/858, 7385/3950

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 7204/858,7385/3950

Given numbers are 7204/858,7385/3950

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 7204,7385

Least Common Multiple of Numerators i.e. LCM of 7204,7385 is 53201540.

GCF of Denominators means GCF of 858,3950 as per the given fractions.

GCF of 858,3950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7204,7385

LCM of Fractions 7204/858,7385/3950 is 26600770

Given numbers has no common factors except 1. So, there LCM is their product i.e 53201540

Least Common Multiple of 7204,7385 with GCF Formula

Least Common Multiple of 7204,7385 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 7204,7385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7204,7385) = 1

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

GCF(7204,7385) x common factors =1 x 1 = 1

LCM(7204,7385) = ( 7204 × 7385 ) / 1

LCM(7204,7385) = 53201540 / 1

LCM(7204,7385) = 53201540


Lets's calculate GCF of 858,3950

2 858, 3950
429, 1975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53201540/2

Therefore the LCM of Fractions 7204/858,7385/3950 is 26600770

Greatest Common Factor of 858,3950 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,3950 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1,2,5,10,25,50,79,158,395,790,1975,3950

Greatest Common Factor

We found the factors 858,3950 . The biggest common factor number is the GCF number.
So the greatest common factor 858,3950 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7204/858, 7385/3950

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 7204/858, 7385/3950?

Answer: LCM of Numerators as per given numbers 7204/858, 7385/3950 is

LCM of Numerators i.e. for 7204,7385 is 53201540

GCF of denominators i.e. for 858,3950 is 2.

Thus, LCM of Fractions is 26600770.Finally, LCM of Fractions for 7204/858, 7385/3950 is 26600770.