Least Common Multiple of 749/510, 8638/3495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/510, 8638/3495 quickly i.e. 924266/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/510, 8638/3495 is 924266/15.

LCM(749/510, 8638/3495) = 924266/15

LCM of 749/510, 8638/3495

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 749/510,8638/3495

Given numbers are 749/510,8638/3495

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 749,8638

Least Common Multiple of Numerators i.e. LCM of 749,8638 is 924266.

GCF of Denominators means GCF of 510,3495 as per the given fractions.

GCF of 510,3495 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,8638

LCM of Fractions 749/510,8638/3495 is 924266/15

7 749, 8638
107, 1234

∴ So the LCM of the given numbers is 7 x 107 x 1234 = 924266

Least Common Multiple of 749,8638 with GCF Formula

Least Common Multiple of 749,8638 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 749,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,8638) = 7

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

GCF(749,8638) x common factors =7 x 1 = 7

LCM(749,8638) = ( 749 × 8638 ) / 7

LCM(749,8638) = 6469862 / 7

LCM(749,8638) = 924266


Lets's calculate GCF of 510,3495

3 510, 3495
5 170, 1165
34, 233

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924266/15

Therefore the LCM of Fractions 749/510,8638/3495 is 924266/15

Greatest Common Factor of 510,3495 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,3495 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1,3,5,15,233,699,1165,3495

Greatest Common Factor

We found the factors 510,3495 . The biggest common factor number is the GCF number.
So the greatest common factor 510,3495 is 15.


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 749/510, 8638/3495

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 749/510, 8638/3495?

Answer: LCM of Numerators as per given numbers 749/510, 8638/3495 is

LCM of Numerators i.e. for 749,8638 is 924266

GCF of denominators i.e. for 510,3495 is 15.

Thus, LCM of Fractions is 924266/15.Finally, LCM of Fractions for 749/510, 8638/3495 is 924266/15.