Least Common Multiple of 98/629, 70/740, 557/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/629, 70/740, 557/440 quickly i.e. 272930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/629, 70/740, 557/440 is 272930.

LCM(98/629, 70/740, 557/440) = 272930

LCM of 98/629, 70/740, 557/440

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 98/629,70/740,557/440

Given numbers are 98/629,70/740,557/440

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 98,70,557

Least Common Multiple of Numerators i.e. LCM of 98,70,557 is 272930.

GCF of Denominators means GCF of 629,740,440 as per the given fractions.

GCF of 629,740,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,70,557

LCM of Fractions 98/629,70/740,557/440 is 272930

2 98, 70, 557
7 49, 35, 557
7, 5, 557

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 557 = 272930

Least Common Multiple of 98,70,557 with GCF Formula

Least Common Multiple of 98,70,557 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 98,70,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,70,557) = 1

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

GCF(98,70,557) x common factors =1 x 14 = 14

LCM(98,70,557) = ( 98 × 70 × 557 ) / 14

LCM(98,70,557) = 3821020 / 14

LCM(98,70,557) = 272930


Lets's calculate GCF of 629,740,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272930/1

Therefore the LCM of Fractions 98/629,70/740,557/440 is 272930

Greatest Common Factor of 629,740,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,740,440 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 629,740,440 . The biggest common factor number is the GCF number.
So the greatest common factor 629,740,440 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 98/629, 70/740, 557/440

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 98/629, 70/740, 557/440?

Answer: LCM of Numerators as per given numbers 98/629, 70/740, 557/440 is

LCM of Numerators i.e. for 98,70,557 is 272930

GCF of denominators i.e. for 629,740,440 is 1.

Thus, LCM of Fractions is 272930.Finally, LCM of Fractions for 98/629, 70/740, 557/440 is 272930.