Least Common Multiple of 706/749, 946/472, 335/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/749, 946/472, 335/503 quickly i.e. 111869230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/749, 946/472, 335/503 is 111869230.

LCM(706/749, 946/472, 335/503) = 111869230

LCM of 706/749, 946/472, 335/503

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 706/749,946/472,335/503

Given numbers are 706/749,946/472,335/503

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 706,946,335

Least Common Multiple of Numerators i.e. LCM of 706,946,335 is 111869230.

GCF of Denominators means GCF of 749,472,503 as per the given fractions.

GCF of 749,472,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,946,335

LCM of Fractions 706/749,946/472,335/503 is 111869230

2 706, 946, 335
353, 473, 335

∴ So the LCM of the given numbers is 2 x 353 x 473 x 335 = 111869230

Least Common Multiple of 706,946,335 with GCF Formula

Least Common Multiple of 706,946,335 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 706,946,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,946,335) = 1

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

GCF(706,946,335) x common factors =1 x 2 = 2

LCM(706,946,335) = ( 706 × 946 × 335 ) / 2

LCM(706,946,335) = 223738460 / 2

LCM(706,946,335) = 111869230


Lets's calculate GCF of 749,472,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111869230/1

Therefore the LCM of Fractions 706/749,946/472,335/503 is 111869230

Greatest Common Factor of 749,472,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,472,503 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 749,472,503 . The biggest common factor number is the GCF number.
So the greatest common factor 749,472,503 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 706/749, 946/472, 335/503

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 706/749, 946/472, 335/503?

Answer: LCM of Numerators as per given numbers 706/749, 946/472, 335/503 is

LCM of Numerators i.e. for 706,946,335 is 111869230

GCF of denominators i.e. for 749,472,503 is 1.

Thus, LCM of Fractions is 111869230.Finally, LCM of Fractions for 706/749, 946/472, 335/503 is 111869230.