Least Common Multiple of 96/435, 776/957, 507/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/435, 776/957, 507/456 quickly i.e. 524576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/435, 776/957, 507/456 is 524576.

LCM(96/435, 776/957, 507/456) = 524576

LCM of 96/435, 776/957, 507/456

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 96/435,776/957,507/456

Given numbers are 96/435,776/957,507/456

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 96,776,507

Least Common Multiple of Numerators i.e. LCM of 96,776,507 is 1573728.

GCF of Denominators means GCF of 435,957,456 as per the given fractions.

GCF of 435,957,456 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,776,507

LCM of Fractions 96/435,776/957,507/456 is 524576

2 96, 776, 507
2 48, 388, 507
2 24, 194, 507
3 12, 97, 507
4, 97, 169

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 97 x 169 = 1573728

Least Common Multiple of 96,776,507 with GCF Formula

Least Common Multiple of 96,776,507 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 96,776,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,776,507) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,776,507) x common factors =1 x 24 = 24

LCM(96,776,507) = ( 96 × 776 × 507 ) / 24

LCM(96,776,507) = 37769472 / 24

LCM(96,776,507) = 1573728


Lets's calculate GCF of 435,957,456

3 435, 957, 456
145, 319, 152

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1573728/3

Therefore the LCM of Fractions 96/435,776/957,507/456 is 524576

Greatest Common Factor of 435,957,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,957,456 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 435,957,456 . The biggest common factor number is the GCF number.
So the greatest common factor 435,957,456 is 3.


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 96/435, 776/957, 507/456

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 96/435, 776/957, 507/456?

Answer: LCM of Numerators as per given numbers 96/435, 776/957, 507/456 is

LCM of Numerators i.e. for 96,776,507 is 1573728

GCF of denominators i.e. for 435,957,456 is 3.

Thus, LCM of Fractions is 524576.Finally, LCM of Fractions for 96/435, 776/957, 507/456 is 524576.