Least Common Multiple of 352/92, 779/79, 984/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/92, 779/79, 984/542 quickly i.e. 822624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/92, 779/79, 984/542 is 822624.

LCM(352/92, 779/79, 984/542) = 822624

LCM of 352/92, 779/79, 984/542

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 352/92,779/79,984/542

Given numbers are 352/92,779/79,984/542

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 352,779,984

Least Common Multiple of Numerators i.e. LCM of 352,779,984 is 822624.

GCF of Denominators means GCF of 92,79,542 as per the given fractions.

GCF of 92,79,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,779,984

LCM of Fractions 352/92,779/79,984/542 is 822624

2 352, 779, 984
2 176, 779, 492
2 88, 779, 246
41 44, 779, 123
44, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 44 x 19 x 3 = 822624

Least Common Multiple of 352,779,984 with GCF Formula

Least Common Multiple of 352,779,984 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 352,779,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,779,984) = 1

common factors(in case of two or more numbers have common factors) = 328

GCF(352,779,984) x common factors =1 x 328 = 328

LCM(352,779,984) = ( 352 × 779 × 984 ) / 328

LCM(352,779,984) = 269820672 / 328

LCM(352,779,984) = 822624


Lets's calculate GCF of 92,79,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822624/1

Therefore the LCM of Fractions 352/92,779/79,984/542 is 822624

Greatest Common Factor of 92,79,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,79,542 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 92,79,542 . The biggest common factor number is the GCF number.
So the greatest common factor 92,79,542 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 352/92, 779/79, 984/542

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 352/92, 779/79, 984/542?

Answer: LCM of Numerators as per given numbers 352/92, 779/79, 984/542 is

LCM of Numerators i.e. for 352,779,984 is 822624

GCF of denominators i.e. for 92,79,542 is 1.

Thus, LCM of Fractions is 822624.Finally, LCM of Fractions for 352/92, 779/79, 984/542 is 822624.