Least Common Multiple of 175/91, 816/71, 752/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 175/91, 816/71, 752/636 quickly i.e. 6711600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/91, 816/71, 752/636 is 6711600.

LCM(175/91, 816/71, 752/636) = 6711600

LCM of 175/91, 816/71, 752/636

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 175/91,816/71,752/636

Given numbers are 175/91,816/71,752/636

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 175,816,752

Least Common Multiple of Numerators i.e. LCM of 175,816,752 is 6711600.

GCF of Denominators means GCF of 91,71,636 as per the given fractions.

GCF of 91,71,636 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,816,752

LCM of Fractions 175/91,816/71,752/636 is 6711600

2 175, 816, 752
2 175, 408, 376
2 175, 204, 188
2 175, 102, 94
175, 51, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 175 x 51 x 47 = 6711600

Least Common Multiple of 175,816,752 with GCF Formula

Least Common Multiple of 175,816,752 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 175,816,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,816,752) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(175,816,752) x common factors =1 x 16 = 16

LCM(175,816,752) = ( 175 × 816 × 752 ) / 16

LCM(175,816,752) = 107385600 / 16

LCM(175,816,752) = 6711600


Lets's calculate GCF of 91,71,636

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6711600/1

Therefore the LCM of Fractions 175/91,816/71,752/636 is 6711600

Greatest Common Factor of 91,71,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,71,636 By Matching Biggest Common Factor Method

Factors of 91

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

1,7,13,91

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 91,71,636 . The biggest common factor number is the GCF number.
So the greatest common factor 91,71,636 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 175/91, 816/71, 752/636

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 175/91, 816/71, 752/636?

Answer: LCM of Numerators as per given numbers 175/91, 816/71, 752/636 is

LCM of Numerators i.e. for 175,816,752 is 6711600

GCF of denominators i.e. for 91,71,636 is 1.

Thus, LCM of Fractions is 6711600.Finally, LCM of Fractions for 175/91, 816/71, 752/636 is 6711600.