Least Common Multiple of 42/781, 77/757, 971/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/781, 77/757, 971/592 quickly i.e. 448602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/781, 77/757, 971/592 is 448602.

LCM(42/781, 77/757, 971/592) = 448602

LCM of 42/781, 77/757, 971/592

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 42/781,77/757,971/592

Given numbers are 42/781,77/757,971/592

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 42,77,971

Least Common Multiple of Numerators i.e. LCM of 42,77,971 is 448602.

GCF of Denominators means GCF of 781,757,592 as per the given fractions.

GCF of 781,757,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,77,971

LCM of Fractions 42/781,77/757,971/592 is 448602

7 42, 77, 971
6, 11, 971

∴ So the LCM of the given numbers is 7 x 6 x 11 x 971 = 448602

Least Common Multiple of 42,77,971 with GCF Formula

Least Common Multiple of 42,77,971 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 42,77,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,77,971) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,77,971) x common factors =1 x 7 = 7

LCM(42,77,971) = ( 42 × 77 × 971 ) / 7

LCM(42,77,971) = 3140214 / 7

LCM(42,77,971) = 448602


Lets's calculate GCF of 781,757,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448602/1

Therefore the LCM of Fractions 42/781,77/757,971/592 is 448602

Greatest Common Factor of 781,757,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,757,592 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 781,757,592 . The biggest common factor number is the GCF number.
So the greatest common factor 781,757,592 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 42/781, 77/757, 971/592

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 42/781, 77/757, 971/592?

Answer: LCM of Numerators as per given numbers 42/781, 77/757, 971/592 is

LCM of Numerators i.e. for 42,77,971 is 448602

GCF of denominators i.e. for 781,757,592 is 1.

Thus, LCM of Fractions is 448602.Finally, LCM of Fractions for 42/781, 77/757, 971/592 is 448602.