Least Common Multiple of 935/74, 849/74, 672/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 935/74, 849/74, 672/514 quickly i.e. 88907280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/74, 849/74, 672/514 is 88907280.

LCM(935/74, 849/74, 672/514) = 88907280

LCM of 935/74, 849/74, 672/514

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 935/74,849/74,672/514

Given numbers are 935/74,849/74,672/514

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 935,849,672

Least Common Multiple of Numerators i.e. LCM of 935,849,672 is 177814560.

GCF of Denominators means GCF of 74,74,514 as per the given fractions.

GCF of 74,74,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,849,672

LCM of Fractions 935/74,849/74,672/514 is 88907280

3 935, 849, 672
935, 283, 224

∴ So the LCM of the given numbers is 3 x 935 x 283 x 224 = 177814560

Least Common Multiple of 935,849,672 with GCF Formula

Least Common Multiple of 935,849,672 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 935,849,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,849,672) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(935,849,672) x common factors =1 x 3 = 3

LCM(935,849,672) = ( 935 × 849 × 672 ) / 3

LCM(935,849,672) = 533443680 / 3

LCM(935,849,672) = 177814560


Lets's calculate GCF of 74,74,514

2 74, 74, 514
37, 37, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177814560/2

Therefore the LCM of Fractions 935/74,849/74,672/514 is 88907280

Greatest Common Factor of 74,74,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,74,514 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 74,74,514 . The biggest common factor number is the GCF number.
So the greatest common factor 74,74,514 is 2.


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Frequently Asked Questions on Fractional LCM of 935/74, 849/74, 672/514

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 935/74, 849/74, 672/514?

Answer: LCM of Numerators as per given numbers 935/74, 849/74, 672/514 is

LCM of Numerators i.e. for 935,849,672 is 177814560

GCF of denominators i.e. for 74,74,514 is 2.

Thus, LCM of Fractions is 88907280.Finally, LCM of Fractions for 935/74, 849/74, 672/514 is 88907280.