Least Common Multiple of 94/279, 45/708, 746/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/279, 45/708, 746/695 quickly i.e. 1577790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/279, 45/708, 746/695 is 1577790.

LCM(94/279, 45/708, 746/695) = 1577790

LCM of 94/279, 45/708, 746/695

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 94/279,45/708,746/695

Given numbers are 94/279,45/708,746/695

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 94,45,746

Least Common Multiple of Numerators i.e. LCM of 94,45,746 is 1577790.

GCF of Denominators means GCF of 279,708,695 as per the given fractions.

GCF of 279,708,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,45,746

LCM of Fractions 94/279,45/708,746/695 is 1577790

2 94, 45, 746
47, 45, 373

∴ So the LCM of the given numbers is 2 x 47 x 45 x 373 = 1577790

Least Common Multiple of 94,45,746 with GCF Formula

Least Common Multiple of 94,45,746 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 94,45,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,45,746) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,45,746) x common factors =1 x 2 = 2

LCM(94,45,746) = ( 94 × 45 × 746 ) / 2

LCM(94,45,746) = 3155580 / 2

LCM(94,45,746) = 1577790


Lets's calculate GCF of 279,708,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1577790/1

Therefore the LCM of Fractions 94/279,45/708,746/695 is 1577790

Greatest Common Factor of 279,708,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,708,695 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 279,708,695 . The biggest common factor number is the GCF number.
So the greatest common factor 279,708,695 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 94/279, 45/708, 746/695

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 94/279, 45/708, 746/695?

Answer: LCM of Numerators as per given numbers 94/279, 45/708, 746/695 is

LCM of Numerators i.e. for 94,45,746 is 1577790

GCF of denominators i.e. for 279,708,695 is 1.

Thus, LCM of Fractions is 1577790.Finally, LCM of Fractions for 94/279, 45/708, 746/695 is 1577790.