Least Common Multiple of 49/704, 70/140, 516/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/704, 70/140, 516/510 quickly i.e. 63210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/704, 70/140, 516/510 is 63210.

LCM(49/704, 70/140, 516/510) = 63210

LCM of 49/704, 70/140, 516/510

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 49/704,70/140,516/510

Given numbers are 49/704,70/140,516/510

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 49,70,516

Least Common Multiple of Numerators i.e. LCM of 49,70,516 is 126420.

GCF of Denominators means GCF of 704,140,510 as per the given fractions.

GCF of 704,140,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,70,516

LCM of Fractions 49/704,70/140,516/510 is 63210

2 49, 70, 516
7 49, 35, 258
7, 5, 258

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 258 = 126420

Least Common Multiple of 49,70,516 with GCF Formula

Least Common Multiple of 49,70,516 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 49,70,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,70,516) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(49,70,516) x common factors =1 x 14 = 14

LCM(49,70,516) = ( 49 × 70 × 516 ) / 14

LCM(49,70,516) = 1769880 / 14

LCM(49,70,516) = 126420


Lets's calculate GCF of 704,140,510

2 704, 140, 510
352, 70, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126420/2

Therefore the LCM of Fractions 49/704,70/140,516/510 is 63210

Greatest Common Factor of 704,140,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,140,510 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

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

Greatest Common Factor

We found the factors 704,140,510 . The biggest common factor number is the GCF number.
So the greatest common factor 704,140,510 is 2.


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 49/704, 70/140, 516/510

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 49/704, 70/140, 516/510?

Answer: LCM of Numerators as per given numbers 49/704, 70/140, 516/510 is

LCM of Numerators i.e. for 49,70,516 is 126420

GCF of denominators i.e. for 704,140,510 is 2.

Thus, LCM of Fractions is 63210.Finally, LCM of Fractions for 49/704, 70/140, 516/510 is 63210.