Least Common Multiple of 893/492, 113/989, 767/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 893/492, 113/989, 767/905 quickly i.e. 77397203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/492, 113/989, 767/905 is 77397203.

LCM(893/492, 113/989, 767/905) = 77397203

LCM of 893/492, 113/989, 767/905

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 893/492,113/989,767/905

Given numbers are 893/492,113/989,767/905

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 893,113,767

Least Common Multiple of Numerators i.e. LCM of 893,113,767 is 77397203.

GCF of Denominators means GCF of 492,989,905 as per the given fractions.

GCF of 492,989,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,113,767

LCM of Fractions 893/492,113/989,767/905 is 77397203

Given numbers has no common factors except 1. So, there LCM is their product i.e 77397203

Least Common Multiple of 893,113,767 with GCF Formula

Least Common Multiple of 893,113,767 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 893,113,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,113,767) = 1

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

GCF(893,113,767) x common factors =1 x 1 = 1

LCM(893,113,767) = ( 893 × 113 × 767 ) / 1

LCM(893,113,767) = 77397203 / 1

LCM(893,113,767) = 77397203


Lets's calculate GCF of 492,989,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77397203/1

Therefore the LCM of Fractions 893/492,113/989,767/905 is 77397203

Greatest Common Factor of 492,989,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,989,905 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 492,989,905 . The biggest common factor number is the GCF number.
So the greatest common factor 492,989,905 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 893/492, 113/989, 767/905

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 893/492, 113/989, 767/905?

Answer: LCM of Numerators as per given numbers 893/492, 113/989, 767/905 is

LCM of Numerators i.e. for 893,113,767 is 77397203

GCF of denominators i.e. for 492,989,905 is 1.

Thus, LCM of Fractions is 77397203.Finally, LCM of Fractions for 893/492, 113/989, 767/905 is 77397203.