Least Common Multiple of 6862/248, 2058/4648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6862/248, 2058/4648 quickly i.e. 7060998/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6862/248, 2058/4648 is 7060998/8.

LCM(6862/248, 2058/4648) = 7060998/8

LCM of 6862/248, 2058/4648

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 6862/248,2058/4648

Given numbers are 6862/248,2058/4648

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 6862,2058

Least Common Multiple of Numerators i.e. LCM of 6862,2058 is 7060998.

GCF of Denominators means GCF of 248,4648 as per the given fractions.

GCF of 248,4648 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6862,2058

LCM of Fractions 6862/248,2058/4648 is 7060998/8

2 6862, 2058
3431, 1029

∴ So the LCM of the given numbers is 2 x 3431 x 1029 = 7060998

Least Common Multiple of 6862,2058 with GCF Formula

Least Common Multiple of 6862,2058 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 6862,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6862,2058) = 2

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

GCF(6862,2058) x common factors =2 x 1 = 2

LCM(6862,2058) = ( 6862 × 2058 ) / 2

LCM(6862,2058) = 14121996 / 2

LCM(6862,2058) = 7060998


Lets's calculate GCF of 248,4648

2 248, 4648
2 124, 2324
2 62, 1162
31, 581

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7060998/8

Therefore the LCM of Fractions 6862/248,2058/4648 is 7060998/8

Greatest Common Factor of 248,4648 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,4648 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648

Greatest Common Factor

We found the factors 248,4648 . The biggest common factor number is the GCF number.
So the greatest common factor 248,4648 is 8.


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 6862/248, 2058/4648

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 6862/248, 2058/4648?

Answer: LCM of Numerators as per given numbers 6862/248, 2058/4648 is

LCM of Numerators i.e. for 6862,2058 is 7060998

GCF of denominators i.e. for 248,4648 is 8.

Thus, LCM of Fractions is 7060998/8.Finally, LCM of Fractions for 6862/248, 2058/4648 is 7060998/8.