Least Common Multiple of 74/162, 26/850, 957/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/162, 26/850, 957/805 quickly i.e. 920634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/162, 26/850, 957/805 is 920634.

LCM(74/162, 26/850, 957/805) = 920634

LCM of 74/162, 26/850, 957/805

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 74/162,26/850,957/805

Given numbers are 74/162,26/850,957/805

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 74,26,957

Least Common Multiple of Numerators i.e. LCM of 74,26,957 is 920634.

GCF of Denominators means GCF of 162,850,805 as per the given fractions.

GCF of 162,850,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,26,957

LCM of Fractions 74/162,26/850,957/805 is 920634

2 74, 26, 957
37, 13, 957

∴ So the LCM of the given numbers is 2 x 37 x 13 x 957 = 920634

Least Common Multiple of 74,26,957 with GCF Formula

Least Common Multiple of 74,26,957 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 74,26,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,26,957) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,26,957) x common factors =1 x 2 = 2

LCM(74,26,957) = ( 74 × 26 × 957 ) / 2

LCM(74,26,957) = 1841268 / 2

LCM(74,26,957) = 920634


Lets's calculate GCF of 162,850,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920634/1

Therefore the LCM of Fractions 74/162,26/850,957/805 is 920634

Greatest Common Factor of 162,850,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,850,805 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 162,850,805 . The biggest common factor number is the GCF number.
So the greatest common factor 162,850,805 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 74/162, 26/850, 957/805

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 74/162, 26/850, 957/805?

Answer: LCM of Numerators as per given numbers 74/162, 26/850, 957/805 is

LCM of Numerators i.e. for 74,26,957 is 920634

GCF of denominators i.e. for 162,850,805 is 1.

Thus, LCM of Fractions is 920634.Finally, LCM of Fractions for 74/162, 26/850, 957/805 is 920634.