Least Common Multiple of 140/62, 918/38, 864/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/62, 918/38, 864/988 quickly i.e. 257040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/62, 918/38, 864/988 is 257040.

LCM(140/62, 918/38, 864/988) = 257040

LCM of 140/62, 918/38, 864/988

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 140/62,918/38,864/988

Given numbers are 140/62,918/38,864/988

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 140,918,864

Least Common Multiple of Numerators i.e. LCM of 140,918,864 is 514080.

GCF of Denominators means GCF of 62,38,988 as per the given fractions.

GCF of 62,38,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,918,864

LCM of Fractions 140/62,918/38,864/988 is 257040

2 140, 918, 864
2 70, 459, 432
3 35, 459, 216
3 35, 153, 72
3 35, 51, 24
35, 17, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 35 x 17 x 8 = 514080

Least Common Multiple of 140,918,864 with GCF Formula

Least Common Multiple of 140,918,864 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 140,918,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,918,864) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(140,918,864) x common factors =2 x 108 = 216

LCM(140,918,864) = ( 140 × 918 × 864 ) / 216

LCM(140,918,864) = 111041280 / 216

LCM(140,918,864) = 514080


Lets's calculate GCF of 62,38,988

2 62, 38, 988
31, 19, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514080/2

Therefore the LCM of Fractions 140/62,918/38,864/988 is 257040

Greatest Common Factor of 62,38,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,38,988 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 62,38,988 . The biggest common factor number is the GCF number.
So the greatest common factor 62,38,988 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 140/62, 918/38, 864/988

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 140/62, 918/38, 864/988?

Answer: LCM of Numerators as per given numbers 140/62, 918/38, 864/988 is

LCM of Numerators i.e. for 140,918,864 is 514080

GCF of denominators i.e. for 62,38,988 is 2.

Thus, LCM of Fractions is 257040.Finally, LCM of Fractions for 140/62, 918/38, 864/988 is 257040.