Least Common Multiple of 5141/770, 5422/6358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5141/770, 5422/6358 quickly i.e. 27874502/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5141/770, 5422/6358 is 27874502/22.

LCM(5141/770, 5422/6358) = 27874502/22

LCM of 5141/770, 5422/6358

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 5141/770,5422/6358

Given numbers are 5141/770,5422/6358

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 5141,5422

Least Common Multiple of Numerators i.e. LCM of 5141,5422 is 27874502.

GCF of Denominators means GCF of 770,6358 as per the given fractions.

GCF of 770,6358 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5141,5422

LCM of Fractions 5141/770,5422/6358 is 27874502/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 27874502

Least Common Multiple of 5141,5422 with GCF Formula

Least Common Multiple of 5141,5422 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 5141,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5141,5422) = 1

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

GCF(5141,5422) x common factors =1 x 1 = 1

LCM(5141,5422) = ( 5141 × 5422 ) / 1

LCM(5141,5422) = 27874502 / 1

LCM(5141,5422) = 27874502


Lets's calculate GCF of 770,6358

2 770, 6358
11 385, 3179
35, 289

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27874502/22

Therefore the LCM of Fractions 5141/770,5422/6358 is 27874502/22

Greatest Common Factor of 770,6358 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,6358 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1,2,11,17,22,34,187,289,374,578,3179,6358

Greatest Common Factor

We found the factors 770,6358 . The biggest common factor number is the GCF number.
So the greatest common factor 770,6358 is 22.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5141/770, 5422/6358

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 5141/770, 5422/6358?

Answer: LCM of Numerators as per given numbers 5141/770, 5422/6358 is

LCM of Numerators i.e. for 5141,5422 is 27874502

GCF of denominators i.e. for 770,6358 is 22.

Thus, LCM of Fractions is 27874502/22.Finally, LCM of Fractions for 5141/770, 5422/6358 is 27874502/22.