Least Common Multiple of 92/45, 688/77, 314/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/45, 688/77, 314/354 quickly i.e. 2484368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/45, 688/77, 314/354 is 2484368.

LCM(92/45, 688/77, 314/354) = 2484368

LCM of 92/45, 688/77, 314/354

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 92/45,688/77,314/354

Given numbers are 92/45,688/77,314/354

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 92,688,314

Least Common Multiple of Numerators i.e. LCM of 92,688,314 is 2484368.

GCF of Denominators means GCF of 45,77,354 as per the given fractions.

GCF of 45,77,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,688,314

LCM of Fractions 92/45,688/77,314/354 is 2484368

2 92, 688, 314
2 46, 344, 157
23, 172, 157

∴ So the LCM of the given numbers is 2 x 2 x 23 x 172 x 157 = 2484368

Least Common Multiple of 92,688,314 with GCF Formula

Least Common Multiple of 92,688,314 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 92,688,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,688,314) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,688,314) x common factors =2 x 4 = 8

LCM(92,688,314) = ( 92 × 688 × 314 ) / 8

LCM(92,688,314) = 19874944 / 8

LCM(92,688,314) = 2484368


Lets's calculate GCF of 45,77,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2484368/1

Therefore the LCM of Fractions 92/45,688/77,314/354 is 2484368

Greatest Common Factor of 45,77,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,77,354 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 45,77,354 . The biggest common factor number is the GCF number.
So the greatest common factor 45,77,354 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 92/45, 688/77, 314/354

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 92/45, 688/77, 314/354?

Answer: LCM of Numerators as per given numbers 92/45, 688/77, 314/354 is

LCM of Numerators i.e. for 92,688,314 is 2484368

GCF of denominators i.e. for 45,77,354 is 1.

Thus, LCM of Fractions is 2484368.Finally, LCM of Fractions for 92/45, 688/77, 314/354 is 2484368.