Least Common Multiple of 278/58, 804/10, 314/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/58, 804/10, 314/736 quickly i.e. 8772846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/58, 804/10, 314/736 is 8772846.

LCM(278/58, 804/10, 314/736) = 8772846

LCM of 278/58, 804/10, 314/736

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 278/58,804/10,314/736

Given numbers are 278/58,804/10,314/736

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 278,804,314

Least Common Multiple of Numerators i.e. LCM of 278,804,314 is 17545692.

GCF of Denominators means GCF of 58,10,736 as per the given fractions.

GCF of 58,10,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,804,314

LCM of Fractions 278/58,804/10,314/736 is 8772846

2 278, 804, 314
139, 402, 157

∴ So the LCM of the given numbers is 2 x 139 x 402 x 157 = 17545692

Least Common Multiple of 278,804,314 with GCF Formula

Least Common Multiple of 278,804,314 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 278,804,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,804,314) = 2

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

GCF(278,804,314) x common factors =2 x 2 = 4

LCM(278,804,314) = ( 278 × 804 × 314 ) / 4

LCM(278,804,314) = 70182768 / 4

LCM(278,804,314) = 17545692


Lets's calculate GCF of 58,10,736

2 58, 10, 736
29, 5, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17545692/2

Therefore the LCM of Fractions 278/58,804/10,314/736 is 8772846

Greatest Common Factor of 58,10,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,10,736 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 58,10,736 . The biggest common factor number is the GCF number.
So the greatest common factor 58,10,736 is 2.


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 278/58, 804/10, 314/736

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 278/58, 804/10, 314/736?

Answer: LCM of Numerators as per given numbers 278/58, 804/10, 314/736 is

LCM of Numerators i.e. for 278,804,314 is 17545692

GCF of denominators i.e. for 58,10,736 is 2.

Thus, LCM of Fractions is 8772846.Finally, LCM of Fractions for 278/58, 804/10, 314/736 is 8772846.