Least Common Multiple of 4990/749, 6852/1477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4990/749, 6852/1477 quickly i.e. 17095740/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4990/749, 6852/1477 is 17095740/7.

LCM(4990/749, 6852/1477) = 17095740/7

LCM of 4990/749, 6852/1477

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 4990/749,6852/1477

Given numbers are 4990/749,6852/1477

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 4990,6852

Least Common Multiple of Numerators i.e. LCM of 4990,6852 is 17095740.

GCF of Denominators means GCF of 749,1477 as per the given fractions.

GCF of 749,1477 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4990,6852

LCM of Fractions 4990/749,6852/1477 is 17095740/7

2 4990, 6852
2495, 3426

∴ So the LCM of the given numbers is 2 x 2495 x 3426 = 17095740

Least Common Multiple of 4990,6852 with GCF Formula

Least Common Multiple of 4990,6852 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 4990,6852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4990,6852) = 2

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

GCF(4990,6852) x common factors =2 x 1 = 2

LCM(4990,6852) = ( 4990 × 6852 ) / 2

LCM(4990,6852) = 34191480 / 2

LCM(4990,6852) = 17095740


Lets's calculate GCF of 749,1477

7 749, 1477
107, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17095740/7

Therefore the LCM of Fractions 4990/749,6852/1477 is 17095740/7

Greatest Common Factor of 749,1477 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,1477 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1,7,211,1477

Greatest Common Factor

We found the factors 749,1477 . The biggest common factor number is the GCF number.
So the greatest common factor 749,1477 is 7.


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 4990/749, 6852/1477

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 4990/749, 6852/1477?

Answer: LCM of Numerators as per given numbers 4990/749, 6852/1477 is

LCM of Numerators i.e. for 4990,6852 is 17095740

GCF of denominators i.e. for 749,1477 is 7.

Thus, LCM of Fractions is 17095740/7.Finally, LCM of Fractions for 4990/749, 6852/1477 is 17095740/7.