Least Common Multiple of 475/369, 748/970, 263/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 475/369, 748/970, 263/505 quickly i.e. 93443900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/369, 748/970, 263/505 is 93443900.

LCM(475/369, 748/970, 263/505) = 93443900

LCM of 475/369, 748/970, 263/505

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 475/369,748/970,263/505

Given numbers are 475/369,748/970,263/505

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 475,748,263

Least Common Multiple of Numerators i.e. LCM of 475,748,263 is 93443900.

GCF of Denominators means GCF of 369,970,505 as per the given fractions.

GCF of 369,970,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,748,263

LCM of Fractions 475/369,748/970,263/505 is 93443900

Given numbers has no common factors except 1. So, there LCM is their product i.e 93443900

Least Common Multiple of 475,748,263 with GCF Formula

Least Common Multiple of 475,748,263 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 475,748,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,748,263) = 1

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

GCF(475,748,263) x common factors =1 x 1 = 1

LCM(475,748,263) = ( 475 × 748 × 263 ) / 1

LCM(475,748,263) = 93443900 / 1

LCM(475,748,263) = 93443900


Lets's calculate GCF of 369,970,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93443900/1

Therefore the LCM of Fractions 475/369,748/970,263/505 is 93443900

Greatest Common Factor of 369,970,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,970,505 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 369,970,505 . The biggest common factor number is the GCF number.
So the greatest common factor 369,970,505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 475/369, 748/970, 263/505

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 475/369, 748/970, 263/505?

Answer: LCM of Numerators as per given numbers 475/369, 748/970, 263/505 is

LCM of Numerators i.e. for 475,748,263 is 93443900

GCF of denominators i.e. for 369,970,505 is 1.

Thus, LCM of Fractions is 93443900.Finally, LCM of Fractions for 475/369, 748/970, 263/505 is 93443900.