Least Common Multiple of 910/49, 148/64, 494/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/49, 148/64, 494/695 quickly i.e. 1279460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/49, 148/64, 494/695 is 1279460.

LCM(910/49, 148/64, 494/695) = 1279460

LCM of 910/49, 148/64, 494/695

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 910/49,148/64,494/695

Given numbers are 910/49,148/64,494/695

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 910,148,494

Least Common Multiple of Numerators i.e. LCM of 910,148,494 is 1279460.

GCF of Denominators means GCF of 49,64,695 as per the given fractions.

GCF of 49,64,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,148,494

LCM of Fractions 910/49,148/64,494/695 is 1279460

2 910, 148, 494
13 455, 74, 247
35, 74, 19

∴ So the LCM of the given numbers is 2 x 13 x 35 x 74 x 19 = 1279460

Least Common Multiple of 910,148,494 with GCF Formula

Least Common Multiple of 910,148,494 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 910,148,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,148,494) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(910,148,494) x common factors =2 x 26 = 52

LCM(910,148,494) = ( 910 × 148 × 494 ) / 52

LCM(910,148,494) = 66531920 / 52

LCM(910,148,494) = 1279460


Lets's calculate GCF of 49,64,695

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279460/1

Therefore the LCM of Fractions 910/49,148/64,494/695 is 1279460

Greatest Common Factor of 49,64,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,64,695 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 49,64,695 . The biggest common factor number is the GCF number.
So the greatest common factor 49,64,695 is 1.


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 910/49, 148/64, 494/695

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 910/49, 148/64, 494/695?

Answer: LCM of Numerators as per given numbers 910/49, 148/64, 494/695 is

LCM of Numerators i.e. for 910,148,494 is 1279460

GCF of denominators i.e. for 49,64,695 is 1.

Thus, LCM of Fractions is 1279460.Finally, LCM of Fractions for 910/49, 148/64, 494/695 is 1279460.