Least Common Multiple of 676/680, 649/692, 898/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/680, 649/692, 898/938 quickly i.e. 98493538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/680, 649/692, 898/938 is 98493538.

LCM(676/680, 649/692, 898/938) = 98493538

LCM of 676/680, 649/692, 898/938

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 676/680,649/692,898/938

Given numbers are 676/680,649/692,898/938

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 676,649,898

Least Common Multiple of Numerators i.e. LCM of 676,649,898 is 196987076.

GCF of Denominators means GCF of 680,692,938 as per the given fractions.

GCF of 680,692,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,649,898

LCM of Fractions 676/680,649/692,898/938 is 98493538

2 676, 649, 898
338, 649, 449

∴ So the LCM of the given numbers is 2 x 338 x 649 x 449 = 196987076

Least Common Multiple of 676,649,898 with GCF Formula

Least Common Multiple of 676,649,898 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 676,649,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,649,898) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(676,649,898) x common factors =1 x 2 = 2

LCM(676,649,898) = ( 676 × 649 × 898 ) / 2

LCM(676,649,898) = 393974152 / 2

LCM(676,649,898) = 196987076


Lets's calculate GCF of 680,692,938

2 680, 692, 938
340, 346, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196987076/2

Therefore the LCM of Fractions 676/680,649/692,898/938 is 98493538

Greatest Common Factor of 680,692,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,692,938 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 680,692,938 . The biggest common factor number is the GCF number.
So the greatest common factor 680,692,938 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 676/680, 649/692, 898/938

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 676/680, 649/692, 898/938?

Answer: LCM of Numerators as per given numbers 676/680, 649/692, 898/938 is

LCM of Numerators i.e. for 676,649,898 is 196987076

GCF of denominators i.e. for 680,692,938 is 2.

Thus, LCM of Fractions is 98493538.Finally, LCM of Fractions for 676/680, 649/692, 898/938 is 98493538.