Least Common Multiple of 354/64, 533/18, 957/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/64, 533/18, 957/910 quickly i.e. 30094779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/64, 533/18, 957/910 is 30094779.

LCM(354/64, 533/18, 957/910) = 30094779

LCM of 354/64, 533/18, 957/910

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 354/64,533/18,957/910

Given numbers are 354/64,533/18,957/910

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 354,533,957

Least Common Multiple of Numerators i.e. LCM of 354,533,957 is 60189558.

GCF of Denominators means GCF of 64,18,910 as per the given fractions.

GCF of 64,18,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,533,957

LCM of Fractions 354/64,533/18,957/910 is 30094779

3 354, 533, 957
118, 533, 319

∴ So the LCM of the given numbers is 3 x 118 x 533 x 319 = 60189558

Least Common Multiple of 354,533,957 with GCF Formula

Least Common Multiple of 354,533,957 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 354,533,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,533,957) = 1

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

GCF(354,533,957) x common factors =1 x 3 = 3

LCM(354,533,957) = ( 354 × 533 × 957 ) / 3

LCM(354,533,957) = 180568674 / 3

LCM(354,533,957) = 60189558


Lets's calculate GCF of 64,18,910

2 64, 18, 910
32, 9, 455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60189558/2

Therefore the LCM of Fractions 354/64,533/18,957/910 is 30094779

Greatest Common Factor of 64,18,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,18,910 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 64,18,910 . The biggest common factor number is the GCF number.
So the greatest common factor 64,18,910 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 354/64, 533/18, 957/910

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 354/64, 533/18, 957/910?

Answer: LCM of Numerators as per given numbers 354/64, 533/18, 957/910 is

LCM of Numerators i.e. for 354,533,957 is 60189558

GCF of denominators i.e. for 64,18,910 is 2.

Thus, LCM of Fractions is 30094779.Finally, LCM of Fractions for 354/64, 533/18, 957/910 is 30094779.