Least Common Multiple of 552/105, 660/348, 931/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/105, 660/348, 931/784 quickly i.e. 28265160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/105, 660/348, 931/784 is 28265160.

LCM(552/105, 660/348, 931/784) = 28265160

LCM of 552/105, 660/348, 931/784

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 552/105,660/348,931/784

Given numbers are 552/105,660/348,931/784

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 552,660,931

Least Common Multiple of Numerators i.e. LCM of 552,660,931 is 28265160.

GCF of Denominators means GCF of 105,348,784 as per the given fractions.

GCF of 105,348,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,660,931

LCM of Fractions 552/105,660/348,931/784 is 28265160

2 552, 660, 931
2 276, 330, 931
3 138, 165, 931
46, 55, 931

∴ So the LCM of the given numbers is 2 x 2 x 3 x 46 x 55 x 931 = 28265160

Least Common Multiple of 552,660,931 with GCF Formula

Least Common Multiple of 552,660,931 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 552,660,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,660,931) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(552,660,931) x common factors =1 x 12 = 12

LCM(552,660,931) = ( 552 × 660 × 931 ) / 12

LCM(552,660,931) = 339181920 / 12

LCM(552,660,931) = 28265160


Lets's calculate GCF of 105,348,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28265160/1

Therefore the LCM of Fractions 552/105,660/348,931/784 is 28265160

Greatest Common Factor of 105,348,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,348,784 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 105,348,784 . The biggest common factor number is the GCF number.
So the greatest common factor 105,348,784 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 552/105, 660/348, 931/784

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 552/105, 660/348, 931/784?

Answer: LCM of Numerators as per given numbers 552/105, 660/348, 931/784 is

LCM of Numerators i.e. for 552,660,931 is 28265160

GCF of denominators i.e. for 105,348,784 is 1.

Thus, LCM of Fractions is 28265160.Finally, LCM of Fractions for 552/105, 660/348, 931/784 is 28265160.