Least Common Multiple of 152/98, 992/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/98, 992/970 quickly i.e. 9424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/98, 992/970 is 9424.

LCM(152/98, 992/970) = 9424

LCM of 152/98, 992/970

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 152/98,992/970

Given numbers are 152/98,992/970

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 152,992

Least Common Multiple of Numerators i.e. LCM of 152,992 is 18848.

GCF of Denominators means GCF of 98,970 as per the given fractions.

GCF of 98,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,992

LCM of Fractions 152/98,992/970 is 9424

2 152, 992
2 76, 496
2 38, 248
19, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 124 = 18848

Least Common Multiple of 152,992 with GCF Formula

Least Common Multiple of 152,992 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 152,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,992) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(152,992) x common factors =8 x 1 = 8

LCM(152,992) = ( 152 × 992 ) / 8

LCM(152,992) = 150784 / 8

LCM(152,992) = 18848


Lets's calculate GCF of 98,970

2 98, 970
49, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18848/2

Therefore the LCM of Fractions 152/98,992/970 is 9424

Greatest Common Factor of 98,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,970 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 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 98,970 . The biggest common factor number is the GCF number.
So the greatest common factor 98,970 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 152/98, 992/970

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 152/98, 992/970?

Answer: LCM of Numerators as per given numbers 152/98, 992/970 is

LCM of Numerators i.e. for 152,992 is 18848

GCF of denominators i.e. for 98,970 is 2.

Thus, LCM of Fractions is 9424.Finally, LCM of Fractions for 152/98, 992/970 is 9424.