Least Common Multiple of 29/10, 51/22, 98/91, 79/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/10, 51/22, 98/91, 79/475 quickly i.e. 11450418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/10, 51/22, 98/91, 79/475 is 11450418.

LCM(29/10, 51/22, 98/91, 79/475) = 11450418

LCM of 29/10, 51/22, 98/91, 79/475

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 29/10,51/22,98/91,79/475

Given numbers are 29/10,51/22,98/91,79/475

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 29,51,98,79

Least Common Multiple of Numerators i.e. LCM of 29,51,98,79 is 11450418.

GCF of Denominators means GCF of 10,22,91,475 as per the given fractions.

GCF of 10,22,91,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,51,98,79

LCM of Fractions 29/10,51/22,98/91,79/475 is 11450418

Given numbers has no common factors except 1. So, there LCM is their product i.e 11450418

Least Common Multiple of 29,51,98,79 with GCF Formula

Least Common Multiple of 29,51,98,79 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 29,51,98,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,51,98,79) = 1

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

GCF(29,51,98,79) x common factors =1 x 1 = 1

LCM(29,51,98,79) = ( 29 × 51 × 98 × 79 ) / 1

LCM(29,51,98,79) = 11450418 / 1

LCM(29,51,98,79) = 11450418


Lets's calculate GCF of 10,22,91,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11450418/1

Therefore the LCM of Fractions 29/10,51/22,98/91,79/475 is 11450418

Greatest Common Factor of 10,22,91,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,22,91,475 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 10,22,91,475 . The biggest common factor number is the GCF number.
So the greatest common factor 10,22,91,475 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 29/10, 51/22, 98/91, 79/475

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 29/10, 51/22, 98/91, 79/475?

Answer: LCM of Numerators as per given numbers 29/10, 51/22, 98/91, 79/475 is

LCM of Numerators i.e. for 29,51,98,79 is 11450418

GCF of denominators i.e. for 10,22,91,475 is 1.

Thus, LCM of Fractions is 11450418.Finally, LCM of Fractions for 29/10, 51/22, 98/91, 79/475 is 11450418.