Least Common Multiple of 35/316, 25/250, 436/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/316, 25/250, 436/548 quickly i.e. 38150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/316, 25/250, 436/548 is 38150.

LCM(35/316, 25/250, 436/548) = 38150

LCM of 35/316, 25/250, 436/548

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 35/316,25/250,436/548

Given numbers are 35/316,25/250,436/548

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 35,25,436

Least Common Multiple of Numerators i.e. LCM of 35,25,436 is 76300.

GCF of Denominators means GCF of 316,250,548 as per the given fractions.

GCF of 316,250,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,25,436

LCM of Fractions 35/316,25/250,436/548 is 38150

5 35, 25, 436
7, 5, 436

∴ So the LCM of the given numbers is 5 x 7 x 5 x 436 = 76300

Least Common Multiple of 35,25,436 with GCF Formula

Least Common Multiple of 35,25,436 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 35,25,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,25,436) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,25,436) x common factors =1 x 5 = 5

LCM(35,25,436) = ( 35 × 25 × 436 ) / 5

LCM(35,25,436) = 381500 / 5

LCM(35,25,436) = 76300


Lets's calculate GCF of 316,250,548

2 316, 250, 548
158, 125, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76300/2

Therefore the LCM of Fractions 35/316,25/250,436/548 is 38150

Greatest Common Factor of 316,250,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,250,548 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 316,250,548 . The biggest common factor number is the GCF number.
So the greatest common factor 316,250,548 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/316, 25/250, 436/548

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 35/316, 25/250, 436/548?

Answer: LCM of Numerators as per given numbers 35/316, 25/250, 436/548 is

LCM of Numerators i.e. for 35,25,436 is 76300

GCF of denominators i.e. for 316,250,548 is 2.

Thus, LCM of Fractions is 38150.Finally, LCM of Fractions for 35/316, 25/250, 436/548 is 38150.