Least Common Multiple of 139/553, 408/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 139/553, 408/763 quickly i.e. 56712/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 139/553, 408/763 is 56712/7.

LCM(139/553, 408/763) = 56712/7

LCM of 139/553, 408/763

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 139/553,408/763

Given numbers are 139/553,408/763

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 139,408

Least Common Multiple of Numerators i.e. LCM of 139,408 is 56712.

GCF of Denominators means GCF of 553,763 as per the given fractions.

GCF of 553,763 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 139,408

LCM of Fractions 139/553,408/763 is 56712/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 56712

Least Common Multiple of 139,408 with GCF Formula

Least Common Multiple of 139,408 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 139,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,408) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(139,408) x common factors =1 x 1 = 1

LCM(139,408) = ( 139 × 408 ) / 1

LCM(139,408) = 56712 / 1

LCM(139,408) = 56712


Lets's calculate GCF of 553,763

7 553, 763
79, 109

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56712/7

Therefore the LCM of Fractions 139/553,408/763 is 56712/7

Greatest Common Factor of 553,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,763 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 553,763 . The biggest common factor number is the GCF number.
So the greatest common factor 553,763 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 139/553, 408/763

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 139/553, 408/763?

Answer: LCM of Numerators as per given numbers 139/553, 408/763 is

LCM of Numerators i.e. for 139,408 is 56712

GCF of denominators i.e. for 553,763 is 7.

Thus, LCM of Fractions is 56712/7.Finally, LCM of Fractions for 139/553, 408/763 is 56712/7.