Least Common Multiple of 351/306, 354/308, 917/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/306, 354/308, 917/533 quickly i.e. 37980306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/306, 354/308, 917/533 is 37980306.

LCM(351/306, 354/308, 917/533) = 37980306

LCM of 351/306, 354/308, 917/533

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 351/306,354/308,917/533

Given numbers are 351/306,354/308,917/533

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 351,354,917

Least Common Multiple of Numerators i.e. LCM of 351,354,917 is 37980306.

GCF of Denominators means GCF of 306,308,533 as per the given fractions.

GCF of 306,308,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,354,917

LCM of Fractions 351/306,354/308,917/533 is 37980306

3 351, 354, 917
117, 118, 917

∴ So the LCM of the given numbers is 3 x 117 x 118 x 917 = 37980306

Least Common Multiple of 351,354,917 with GCF Formula

Least Common Multiple of 351,354,917 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 351,354,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,354,917) = 1

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

GCF(351,354,917) x common factors =1 x 3 = 3

LCM(351,354,917) = ( 351 × 354 × 917 ) / 3

LCM(351,354,917) = 113940918 / 3

LCM(351,354,917) = 37980306


Lets's calculate GCF of 306,308,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37980306/1

Therefore the LCM of Fractions 351/306,354/308,917/533 is 37980306

Greatest Common Factor of 306,308,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,308,533 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 306,308,533 . The biggest common factor number is the GCF number.
So the greatest common factor 306,308,533 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 351/306, 354/308, 917/533

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 351/306, 354/308, 917/533?

Answer: LCM of Numerators as per given numbers 351/306, 354/308, 917/533 is

LCM of Numerators i.e. for 351,354,917 is 37980306

GCF of denominators i.e. for 306,308,533 is 1.

Thus, LCM of Fractions is 37980306.Finally, LCM of Fractions for 351/306, 354/308, 917/533 is 37980306.