Least Common Multiple of 985/902, 692/232, 276/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/902, 692/232, 276/814 quickly i.e. 23515890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/902, 692/232, 276/814 is 23515890.

LCM(985/902, 692/232, 276/814) = 23515890

LCM of 985/902, 692/232, 276/814

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 985/902,692/232,276/814

Given numbers are 985/902,692/232,276/814

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 985,692,276

Least Common Multiple of Numerators i.e. LCM of 985,692,276 is 47031780.

GCF of Denominators means GCF of 902,232,814 as per the given fractions.

GCF of 902,232,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,692,276

LCM of Fractions 985/902,692/232,276/814 is 23515890

2 985, 692, 276
2 985, 346, 138
985, 173, 69

∴ So the LCM of the given numbers is 2 x 2 x 985 x 173 x 69 = 47031780

Least Common Multiple of 985,692,276 with GCF Formula

Least Common Multiple of 985,692,276 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 985,692,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,692,276) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(985,692,276) x common factors =1 x 4 = 4

LCM(985,692,276) = ( 985 × 692 × 276 ) / 4

LCM(985,692,276) = 188127120 / 4

LCM(985,692,276) = 47031780


Lets's calculate GCF of 902,232,814

2 902, 232, 814
451, 116, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47031780/2

Therefore the LCM of Fractions 985/902,692/232,276/814 is 23515890

Greatest Common Factor of 902,232,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,232,814 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 902,232,814 . The biggest common factor number is the GCF number.
So the greatest common factor 902,232,814 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 985/902, 692/232, 276/814

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 985/902, 692/232, 276/814?

Answer: LCM of Numerators as per given numbers 985/902, 692/232, 276/814 is

LCM of Numerators i.e. for 985,692,276 is 47031780

GCF of denominators i.e. for 902,232,814 is 2.

Thus, LCM of Fractions is 23515890.Finally, LCM of Fractions for 985/902, 692/232, 276/814 is 23515890.