Least Common Multiple of 749/630, 5046/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/630, 5046/984 quickly i.e. 629909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/630, 5046/984 is 629909.

LCM(749/630, 5046/984) = 629909

LCM of 749/630, 5046/984

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 749/630,5046/984

Given numbers are 749/630,5046/984

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 749,5046

Least Common Multiple of Numerators i.e. LCM of 749,5046 is 3779454.

GCF of Denominators means GCF of 630,984 as per the given fractions.

GCF of 630,984 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,5046

LCM of Fractions 749/630,5046/984 is 629909

Given numbers has no common factors except 1. So, there LCM is their product i.e 3779454

Least Common Multiple of 749,5046 with GCF Formula

Least Common Multiple of 749,5046 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 749,5046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,5046) = 1

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

GCF(749,5046) x common factors =1 x 1 = 1

LCM(749,5046) = ( 749 × 5046 ) / 1

LCM(749,5046) = 3779454 / 1

LCM(749,5046) = 3779454


Lets's calculate GCF of 630,984

2 630, 984
3 315, 492
105, 164

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3779454/6

Therefore the LCM of Fractions 749/630,5046/984 is 629909

Greatest Common Factor of 630,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,984 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 630,984 . The biggest common factor number is the GCF number.
So the greatest common factor 630,984 is 6.


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 749/630, 5046/984

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 749/630, 5046/984?

Answer: LCM of Numerators as per given numbers 749/630, 5046/984 is

LCM of Numerators i.e. for 749,5046 is 3779454

GCF of denominators i.e. for 630,984 is 6.

Thus, LCM of Fractions is 629909.Finally, LCM of Fractions for 749/630, 5046/984 is 629909.