Least Common Multiple of 34/216, 397/942, 427/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/216, 397/942, 427/985 quickly i.e. 5763646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/216, 397/942, 427/985 is 5763646.

LCM(34/216, 397/942, 427/985) = 5763646

LCM of 34/216, 397/942, 427/985

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 34/216,397/942,427/985

Given numbers are 34/216,397/942,427/985

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 34,397,427

Least Common Multiple of Numerators i.e. LCM of 34,397,427 is 5763646.

GCF of Denominators means GCF of 216,942,985 as per the given fractions.

GCF of 216,942,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,397,427

LCM of Fractions 34/216,397/942,427/985 is 5763646

Given numbers has no common factors except 1. So, there LCM is their product i.e 5763646

Least Common Multiple of 34,397,427 with GCF Formula

Least Common Multiple of 34,397,427 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 34,397,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,397,427) = 1

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

GCF(34,397,427) x common factors =1 x 1 = 1

LCM(34,397,427) = ( 34 × 397 × 427 ) / 1

LCM(34,397,427) = 5763646 / 1

LCM(34,397,427) = 5763646


Lets's calculate GCF of 216,942,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5763646/1

Therefore the LCM of Fractions 34/216,397/942,427/985 is 5763646

Greatest Common Factor of 216,942,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,942,985 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 216,942,985 . The biggest common factor number is the GCF number.
So the greatest common factor 216,942,985 is 1.


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 34/216, 397/942, 427/985

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 34/216, 397/942, 427/985?

Answer: LCM of Numerators as per given numbers 34/216, 397/942, 427/985 is

LCM of Numerators i.e. for 34,397,427 is 5763646

GCF of denominators i.e. for 216,942,985 is 1.

Thus, LCM of Fractions is 5763646.Finally, LCM of Fractions for 34/216, 397/942, 427/985 is 5763646.