Least Common Multiple of 702/98, 974/56, 858/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/98, 974/56, 858/230 quickly i.e. 1880307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/98, 974/56, 858/230 is 1880307.

LCM(702/98, 974/56, 858/230) = 1880307

LCM of 702/98, 974/56, 858/230

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 702/98,974/56,858/230

Given numbers are 702/98,974/56,858/230

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 702,974,858

Least Common Multiple of Numerators i.e. LCM of 702,974,858 is 3760614.

GCF of Denominators means GCF of 98,56,230 as per the given fractions.

GCF of 98,56,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,974,858

LCM of Fractions 702/98,974/56,858/230 is 1880307

2 702, 974, 858
3 351, 487, 429
13 117, 487, 143
9, 487, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 487 x 11 = 3760614

Least Common Multiple of 702,974,858 with GCF Formula

Least Common Multiple of 702,974,858 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 702,974,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,974,858) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(702,974,858) x common factors =2 x 78 = 156

LCM(702,974,858) = ( 702 × 974 × 858 ) / 156

LCM(702,974,858) = 586655784 / 156

LCM(702,974,858) = 3760614


Lets's calculate GCF of 98,56,230

2 98, 56, 230
49, 28, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3760614/2

Therefore the LCM of Fractions 702/98,974/56,858/230 is 1880307

Greatest Common Factor of 98,56,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,56,230 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 98,56,230 . The biggest common factor number is the GCF number.
So the greatest common factor 98,56,230 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 702/98, 974/56, 858/230

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 702/98, 974/56, 858/230?

Answer: LCM of Numerators as per given numbers 702/98, 974/56, 858/230 is

LCM of Numerators i.e. for 702,974,858 is 3760614

GCF of denominators i.e. for 98,56,230 is 2.

Thus, LCM of Fractions is 1880307.Finally, LCM of Fractions for 702/98, 974/56, 858/230 is 1880307.