Least Common Multiple of 49/67, 21/62, 24/34, 78/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/67, 21/62, 24/34, 78/151 quickly i.e. 15288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/67, 21/62, 24/34, 78/151 is 15288.

LCM(49/67, 21/62, 24/34, 78/151) = 15288

LCM of 49/67, 21/62, 24/34, 78/151

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 49/67,21/62,24/34,78/151

Given numbers are 49/67,21/62,24/34,78/151

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 49,21,24,78

Least Common Multiple of Numerators i.e. LCM of 49,21,24,78 is 15288.

GCF of Denominators means GCF of 67,62,34,151 as per the given fractions.

GCF of 67,62,34,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,21,24,78

LCM of Fractions 49/67,21/62,24/34,78/151 is 15288

2 49, 21, 24, 78
3 49, 21, 12, 39
7 49, 7, 4, 13
1, 7, 4, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 7 x 4 x 13 = 15288

Least Common Multiple of 49,21,24,78 with GCF Formula

Least Common Multiple of 49,21,24,78 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 49,21,24,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,21,24,78) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(49,21,24,78) x common factors =1 x 126 = 126

LCM(49,21,24,78) = ( 49 × 21 × 24 × 78 ) / 126

LCM(49,21,24,78) = 1926288 / 126

LCM(49,21,24,78) = 15288


Lets's calculate GCF of 67,62,34,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15288/1

Therefore the LCM of Fractions 49/67,21/62,24/34,78/151 is 15288

Greatest Common Factor of 67,62,34,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,62,34,151 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 62

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

1,2,31,62

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 67,62,34,151 . The biggest common factor number is the GCF number.
So the greatest common factor 67,62,34,151 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 49/67, 21/62, 24/34, 78/151

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 49/67, 21/62, 24/34, 78/151?

Answer: LCM of Numerators as per given numbers 49/67, 21/62, 24/34, 78/151 is

LCM of Numerators i.e. for 49,21,24,78 is 15288

GCF of denominators i.e. for 67,62,34,151 is 1.

Thus, LCM of Fractions is 15288.Finally, LCM of Fractions for 49/67, 21/62, 24/34, 78/151 is 15288.