Least Common Multiple of 354/984, 648/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/984, 648/920 quickly i.e. 4779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/984, 648/920 is 4779.

LCM(354/984, 648/920) = 4779

LCM of 354/984, 648/920

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 354/984,648/920

Given numbers are 354/984,648/920

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 354,648

Least Common Multiple of Numerators i.e. LCM of 354,648 is 38232.

GCF of Denominators means GCF of 984,920 as per the given fractions.

GCF of 984,920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,648

LCM of Fractions 354/984,648/920 is 4779

2 354, 648
3 177, 324
59, 108

∴ So the LCM of the given numbers is 2 x 3 x 59 x 108 = 38232

Least Common Multiple of 354,648 with GCF Formula

Least Common Multiple of 354,648 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 354,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,648) = 6

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

GCF(354,648) x common factors =6 x 1 = 6

LCM(354,648) = ( 354 × 648 ) / 6

LCM(354,648) = 229392 / 6

LCM(354,648) = 38232


Lets's calculate GCF of 984,920

2 984, 920
2 492, 460
2 246, 230
123, 115

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38232/8

Therefore the LCM of Fractions 354/984,648/920 is 4779

Greatest Common Factor of 984,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,920 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 984,920 . The biggest common factor number is the GCF number.
So the greatest common factor 984,920 is 8.


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 354/984, 648/920

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 354/984, 648/920?

Answer: LCM of Numerators as per given numbers 354/984, 648/920 is

LCM of Numerators i.e. for 354,648 is 38232

GCF of denominators i.e. for 984,920 is 8.

Thus, LCM of Fractions is 4779.Finally, LCM of Fractions for 354/984, 648/920 is 4779.