Least Common Multiple of 6862/770, 4269/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6862/770, 4269/400 quickly i.e. 29293878/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6862/770, 4269/400 is 29293878/10.

LCM(6862/770, 4269/400) = 29293878/10

LCM of 6862/770, 4269/400

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 6862/770,4269/400

Given numbers are 6862/770,4269/400

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 6862,4269

Least Common Multiple of Numerators i.e. LCM of 6862,4269 is 29293878.

GCF of Denominators means GCF of 770,400 as per the given fractions.

GCF of 770,400 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6862,4269

LCM of Fractions 6862/770,4269/400 is 29293878/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 29293878

Least Common Multiple of 6862,4269 with GCF Formula

Least Common Multiple of 6862,4269 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 6862,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6862,4269) = 1

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

GCF(6862,4269) x common factors =1 x 1 = 1

LCM(6862,4269) = ( 6862 × 4269 ) / 1

LCM(6862,4269) = 29293878 / 1

LCM(6862,4269) = 29293878


Lets's calculate GCF of 770,400

2 770, 400
5 385, 200
77, 40

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29293878/10

Therefore the LCM of Fractions 6862/770,4269/400 is 29293878/10

Greatest Common Factor of 770,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,400 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 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 770,400 . The biggest common factor number is the GCF number.
So the greatest common factor 770,400 is 10.


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 6862/770, 4269/400

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 6862/770, 4269/400?

Answer: LCM of Numerators as per given numbers 6862/770, 4269/400 is

LCM of Numerators i.e. for 6862,4269 is 29293878

GCF of denominators i.e. for 770,400 is 10.

Thus, LCM of Fractions is 29293878/10.Finally, LCM of Fractions for 6862/770, 4269/400 is 29293878/10.